Image Phenyl group.png thumb 150px right The structure of the phenylgroup attached to an R group. In organic chemistry , the phenylgroup or phenyl ring has the formula carbon C sub 6 sub hydrogen H sub ..., characterization Phenyl compounds are derived from benzene C sub 6 sub H sub 6 sub , at least conceptually and often in terms of their production. In terms of its electronic properties, the phenylgroup is related to a vinyl group . The phenylgroup is hydrophobic . Phenyl groups tend to resist ... resonance NMR spectroscopy, protons of a phenylgroup typically absorb chemical shift s around 7.27 ... a phenylgroup. A major product of the petrochemical industry is Benzene Production BTX consisting .... Phenyl groups are pervasive in organic chemistry . ref March, J. Advanced Organic Chemistry 4th Ed. J. Wiley and Sons, 1992 New York. ISBN 0 471 60180 2. ref Nomenclature Phenyl groups are often Skeletal ... denoted as PhH. Phenyl groups are attached to other atoms in a molecule. For example, triphenylmethane Ph sub 3 sub CH . Phenyl compounds are so common that they often have multiple names, some of which do not use the term phenyl. For example the chlorine derivative C sub 6 sub H sub 5 sub Cl is normally called chlorobenzene , although it could be called phenyl chloride. In special and rare cases, isolated phenyl groups are detected the phenyl anion C sub 6 sub H sub 5 sub sup sup , the phenyl cation C sub 6 sub H sub 5 sub sup sup , and the phenyl free radical C sub 6 sub H sub 5 sub . Although Ph and phenyl uniquely denote C sub 6 sub H sub 5 sub , substituted derivatives also are described using the phenyl terminology. For example, O sub 2 sub NC sub 6 sub H sub 4 sub is nitrophenyl ... may change depending on substituents. Preparation, occurrence, and applications Phenyl groups are usually introduced using reagents that behave as sources of the phenyl anion or the phenyl cation. Representative ... C sub 6 sub H sub 5 sub MgBr . Electrophiles attack benzene to give phenyl derivatives C sub 6 sub ... more details
chembox Name Phenyl azide ImageFile Phenyl azide A 2D skeletal.png ImageSize 150px ImageName Skeletal formula ImageFile1 Phenyl azide 3D balls.png ImageName1 Ball and stick model IUPACName Phenyl azide OtherNames Azidobenzene Section1 Chembox Identifiers SMILES CASNo 622 37 7 RTECS Section2 Chembox Properties Formula C sub 6 sub H sub 5 sub N sub 3 sub MolarMass 119.14 g mol Appearance pale yellow, oily Density ? g cm sup 3 sup , liquid Solubility not appreciable MeltingPt ? K BoilingPt 49 50 C at 5 mm Hg Viscosity Section7 Chembox Hazards ExternalMSDS MainHazards explosive FlashPt RPhrases SPhrases Section8 Chembox Related Function compounds OtherFunctn Aniline br Nitrobenzene br Nitrosobenzene br Phenylhydrazine br Phenylhydroxylamine br Diazonium compound Diazonium cation Phenylazide is an organic compound with the formula C sub 6 sub H sub 5 sub N sub 3 sub . It is one of the prototypical organic azides. It has a pungent odor. The structure consists of a linear azide N N N substituent bound to a phenylgroup. The C N N angle is approximately 120 . Preparation Phenyl azide is prepared by the Diazonium compound diazotization of phenylhydrazine with nitrous acid ref OrgSynth title Phenyl azide author R. O. Lindsay and C. F. H. Allen collvol 3 collvolpages 710 year 1955 prep cv3p0710 ref C sub 6 sub H sub 5 sub NHNH sub 2 sub HNO sub 2 sub C sub 6 sub H sub 5 sub N sub 3 sub 2 H sub 2 sub O Chemical reactions C sub 6 sub H sub 5 sub N sub 3 sub is used to make heterocycles via cycloaddition to alkenes and especially Azide alkyne Huisgen cycloaddition alkynes , particularly those bearing electronegative substituents. It reacts with triphenylphosphine to give the Staudinger reagent C sub 6 sub H sub 5 sub NP C sub 6 sub H sub 5 sub sub 3 sub . Thermolysis induces loss of N .... S. Ramamoorthyin Phenyl Azide Encyclopedia of Reagents for Organic Synthesis Ed L. Paquette 2004, J ... erences tags reflist Category Aromatic compounds Category IARC Group 3 carcinogens Category Azides ... more details
chembox verifiedrevid 302433179 ImageFileL1 Phenyl isothiocyanate 2D skeletal.png ImageSizeL1 120px ImageFileR1 Phenyl isothiocyanate 3D vdW.png ImageSizeR1 120px IUPACName Isothiocyanatobenzene OtherNames Thiocarbanil Section1 Chembox Identifiers CASNo Ref cascite CASNo 103 72 0 PubChem 7673 SMILES C1 CC C C C1 N C S Section2 Chembox Properties Formula C sub 7 sub H sub 5 sub NS MolarMass 135.19 g mol Appearance Density MeltingPt BoilingPt Solubility Section3 Chembox Hazards MainHazards FlashPt Autoignition Phenyl isothiocyanate PITC is a reagent used in High performance liquid chromatography Reversed phase chromatography reversed phase HPLC . PITC is less sensitive than o phthaldehyde OPA and cannot be fully automated. PITC can be used for analysing secondary amines, unlike OPA. It is also known as Edman s reagent and is used in Edman degradation . Commercially available, this compound may be synthesized by reacting aniline with carbon disulfide and concentrated ammonia to give the ammonium dithiocarbamate salt. Further reaction with lead II nitrate gives phenyl isothiocyanate ref OrgSynth author F. B. Dains, R. Q. Brewster, and C. P. Olander title Phenyl isothiocyanate collvol 1 collvolpages 447 prep CV1P0447 ref File Synthesis phenylisothiocyanate 1.svg frameless upright 2.7 Synthesis of phenyl isothiocyanat See also Isothiocyanate References references Category Isothiocyanates de Phenylisothiocyanat it Isotiocianato di fenile ... more details
Unreferenced date February 2007 DISPLAYTITLE Phenyl small D small galactopyranoside Chembox verifiedrevid 400847696 Name Phenyl small D small galactopyranoside ImageFile Phenyl D galactopyranoside.PNG ImageSize 200px IUPACName OtherNames Section1 Chembox Identifiers InChI 1 C12H15O6 c13 6 8 9 14 10 15 11 12 16 18 8 17 7 4 2 1 3 5 7 h1 5,8 15H,6H2 q 1 t8 ,9 ,10 ,11 ,12? m1 s1 InChIKey HRDZSWARBBWSQA SCWFEDMQBF StdInChI Ref stdinchicite correct chemspider StdInChI 1S C12H15O6 c13 6 8 9 14 10 15 11 12 16 18 8 17 7 4 2 1 3 5 7 h1 5,8 15H,6H2 q 1 t8 ,9 ,10 ,11 ,12? m1 s1 StdInChIKey Ref stdinchicite correct chemspider StdInChIKey HRDZSWARBBWSQA SCWFEDMQSA N CASNo 56390 15 9 PubChem 124323 ChemSpiderID Ref chemspidercite correct chemspider ChemSpiderID 19980660 SMILES O C2O C H CO C H O C H O C H 2Oc1ccccc1 MeSHName phenyl D galactopyranoside Section2 Chembox Properties Formula C sub 12 sub H sub 16 sub O sub 6 sub MolarMass 256.252 g mol Appearance Density MeltingPt BoilingPt Section3 Chembox Hazards Solubility MainHazards FlashPt Autoignition Phenyl small D small galactopyranoside is a substituted galactoside . See also Lac operon Glycosides DEFAULTSORT Phenyl D Galactopyranoside Category Galactosides Organic compound stub ... more details
chembox verifiedrevid 415324251 ImageFile Ref chemboximage correct ?? ImageFile Ethyl phenyl ether.png ImageSize 200px IUPACName Ethoxybenzene OtherNames Phenetole Section1 Chembox Identifiers ChemSpiderID Ref chemspidercite correct chemspider ChemSpiderID 7391 InChI 1 C8H10O c1 2 9 8 6 4 3 5 7 8 h3 7H,2H2,1H3 InChIKey DLRJIFUOBPOJNS UHFFFAOYAS ChEMBL Ref ebicite correct EBI ChEMBL 499585 StdInChI Ref stdinchicite correct chemspider StdInChI 1S C8H10O c1 2 9 8 6 4 3 5 7 8 h3 7H,2H2,1H3 StdInChIKey Ref stdinchicite correct chemspider StdInChIKey DLRJIFUOBPOJNS UHFFFAOYSA N CASNo Ref cascite correct CAS CASNo 103 73 1 PubChem 7674 SMILES O c1ccccc1 CC Section2 Chembox Properties Formula C sub 8 sub H sub 10 sub O MolarMass 122.1644 Appearance Density 0.967 MeltingPt BoilingPtC 168 Solubility Section3 Chembox Hazards MainHazards FlashPt Autoignition Ethyl phenyl ether or phenetole is an organic compound that is an ether . Ethyl phenyl ether has the same properties as some other ethers, such as volatility, explosive vapors, and the ability to form peroxide s. Its boiling point was measured through experimental work at Karolinska Institutet , Stockholm, Sweden, at the institution for Medical Biochemistry and Biophysics. The boiling point was determined to approximately 168 C. For antoine constants http webbook.nist.gov cgi cbook.cgi?ID C103731&Units SI&Mask 4 ref 10 References Organic Chemistry , Fessenden & Fessenden, 6th Edition, Ralph J. Fessenden et al. Category Phenol ethers organic compound stub de Phenetol es Etilfenil ter nl Fenylethylether pt Etoxibenzeno zh ... more details
T group can refer to T group mathematics , a mathematical structure. T group social psychology , a group of people learning about human behaviour by interacting with each other. disambig ... more details
The Group may refer to The Group novel , by Mary McCarthy The Group film , by Sidney Lumet, based on the book The Group literature , a group of British poets of the late 1950s and early 1960s The Group theater , a theatrical company formed in 1964 The Group play , a play by Mercy Otis Warren of 1775 The Group commune , an intentional community based on G. I. Gurdjieff Gurdjieff s Fourth Way The Group, a collection of non player characters in The Legend of Zelda Twilight Princess The Group TV series , an Australian situation comedy series produced by Cash Harmon Television for ATN7 in 1971 disambig ... more details
Wiktionary group TOCright A group is a number of things or persons being in some relation to one another. Mathematics Group mathematics , a set together with a binary operation satisfying certain algebraic conditions Group theory , the study of groups Group action , a way of describing the symmetries of objects using groups Group isomorphism , a one to one correspondence function between two groups which respects the given group operations Group object , a kind of generalization of a group which is built on more complicated structures than sets Science Chemistry Functional group , a functional entity consisting of certain atoms whose presence provides a certain property to a molecule Group periodic table , a column in the periodic table of chemical elements Biology Cultivar group , a formal classification category in the International Code of Nomenclature for Cultivated Plants ICNCP Group ... , a small number of galaxies near each other Local Group , the group containing the Milky Way Galaxy Other Group delay and phase delay a set of lens optics lens es stacked together Group stratigraphy , in geology, a lithostratigraphy lithostratigraphical unit a group consists of formations, or rock stratum strata . Business Business group , a legal entity comprising several companies Sociology Social group s, a description of various human groups Peer group Working group Interest groupGroup action sociology Group behaviour Group dynamics Group narcissism Computing and the internet Group computing , a collection of users or other objects Group identifier Unix Group editor , a program that allows many people to edit a shared document over a computer network Usenet newsgroup Military Army groupGroup air force , an air force formation Group Captain Other uses Breed Groups dog , the group or category to which breeds of dogs are assigned by kennel clubs Group auto racing , a category of car allowed to compete in auto racing . Group insurance covering people with common characteristics A musical ... more details
about the third millennium BC Nubian culture the type of mathematical group A group A Group is the designation for a distinct culture that arose between the Cataracts of the Nile First and Nile Second Cataracts of the Nile in Nubia between the Ancient Egypt Egyptian 1st dynasty and the 3rd millennium BC. The A Group settled on very poor land with scarce natural resources, yet they became the first Nubia ns to develop agriculture . This culture was one of the two important kingdoms in Lower Nubia . Artefacts from this culture were discovered in 1907 by Egyptologist George A. Reisner . A Group royal tombs were found to be two centuries older than those of the Egyptians . It is believed that the Egyptians developed their grave site customs for honouring pharaoh s from Central Africa . The A Group had strong beliefs in the afterlife. A great deal of time was put into their cemeteries and funerals. The dead were placed in burial mounds with their bodies facing the West. Grave good s such as jewellery , pottery, stone bowls, linen cloth, copper tools, and cosmetic palette s were found on or near bodies. By 3200 BC, the A group was known for their mediation of the increased trade between Egypt and the distinct South. However, the relationship with Egypt would not last. Archaeologist s believe from their records that Egypt raided Lower Nubia towards the end of their existence. They took seven thousand captives and 200,000 cattle. External links http www.ancientsudan.org history 02 cultures.htm Early States and the A Group Proto Kingdom http www.arkamani.org arkamani library neolithic a group variation.htm Regional variations in the so called A Group Culture of Lower Nubia Category Ancient peoples Category Nubia Category Ancient Egyptian palettes de A Gruppe hu A csoport ... more details
Otheruses4 a type of mathematical group the third millennium BC Nubian culture A Group In mathematics , in the area of abstract algebra known as group theory , an A group is a type of group that is similar to abelian group s. The groups were first studied in the 1940s by Philip Hall , and are still studied today. A great deal is known about their structure. Definition An A group is a finite group mathematics group with the property that all of its Sylow subgroup s are abelian group abelian . History The term A group was probably first used in harv Hall 1940 loc Sec. 9 , where attention was restricted ... Every subgroup , quotient group , and direct product of groups direct product of A groups are A groups. Every finite abelian group is an A group. A finite nilpotent group is an A group if and only if it is abelian. The Dihedral group of order 6 symmetric group on three points is an A group that is not abelian. Every group of square free order is an A group. In fact a Z group. The derived length of an A group can be arbitrarily large, but no larger than the number of distinct prime divisors ... A group has a unique maximal abelian normal subgroup harv Hall 1940 . I think this is soluble specific, can someone provide an insoluble counterexample? The Fitting subgroup of a solvable group solvable A group is equal to the direct product of the center group theory centers of the terms of the derived ... form in harv Huppert 1967 loc Kap. VI, Satz 14.8 . A non abelian finite simple group is an A group if and only if it is isomorphic to the Janko group J1 first Janko group or to Projective special linear group PSL 2, q where q 3 and either q 2 sup n sup or q 3,5 mod 8, as shown in harv Walter 1969 . All the groups in the variety generated by a finite group are finitely approximable group finitely approximable if and only if that group is an A group, as shown in harv Ol anski 1969 . Like Z group Groups whose Sylow subgroups are cyclic Z groups , whose Sylow subgroups are cyclic, A groups ... more details
otheruses In relation to motorsport governed by the F d ration Internationale de l Automobile FIA , Group .... In contrast to the short lived Group B and Group C , the Group A referred to production derived vehicles limited in terms of power, weight, allowed technology and overall cost. Group A was aimed at ensuring a large number of privately owned entries in races. Group A was introduced by the FIA in 1982 to replace the outgoing Group 2 as modified touring cars , while Group N would replace Group 1 ... Touring Car Championship , Group A consisted of three divisions, Division 3 for cars over ... width were dependent on the car s engine size. Group A stopped being used in touring car racing ... being up against Group C , former race modified roadcars and specially developed racers, like the Toyota ... Group A or Group 3A as it was officially designated in Australia ref CAMS 1988 CAMS Manual of Motor Sport, Group 3A Touring Cars Specifications, pages 228 233 ref with a new formula for Australian ... races still use Group A as a Touring Car class across Europe. Rallying Image Mitsubishi LancerEvo ... M kinen Edition. Under Group A in the World Rally Championship , the cars used were modified road ... and dirt roads and even snow ice covered roads on some rallies held in northern Europe. Group ... 2000 . The last WRC car to use the old Group A homologation requirement was the Mitsubishi Lancer Evolution ... evaluated for rallying in the WRC for 2011. Series that used the Group A formula Australian ... VK Commodore Holden Commodore VK and Holden VK Commodore VK Commodore Group A SS col break width 33 Holden VL Commodore Holden Commodore VL Group A SS and Holden VL Commodore SS Group A SV VL Commodore SS Group A SV Holden VN Commodore Holden Commodore VN Group A SS Isuzu Gemini Holden Gemini Honda ... External links http homepage.mac.com frank de jong Pages part5.html Frank de Jong s Group A ETCC section Class of Auto racing Category FIA Category Rally cars Group A Category Touring car racing ... more details
Primarysources date February 2008 Infobox musical artist See Wikipedia WikiProject Musicians Name S br Img Img capt Img size Landscape Background temporary Birth name Alias Group S, Supreme Born Died Origin Seoul , South Korea Instrument Genre K pop , R&B Occupation Years active 2003 Label SM Entertainment Associated acts SMTown , H.O.T. , Shinhwa URL http star.ilikepop.com starhome s Official Site Current members Kangta br Lee Ji Hoon br Shin Hye Sung Past members Notable instruments S was a South Korea n project group consisting of three members Kangta , Lee Ji Hoon and Shin Hye Sung . The group was active only in 2003, under the SM Entertainment label. History Before debuting together as group S , all three members were successful artists. Their first album was Fr.In.Cl , which stands for Friends in Classic . All about the same age, they are close friends and have a steadily growing fan base in Japan . Member histories Kangta Kangta was a member of teenage idol group H.O.T. . Kangta was a main vocalist for H.O.T. until the group disbanded in 2001. He accepted a lucrative offer from SM Entertainment and continued his musical career, releasing solo albums which consisted of mainly ballads but also occasionally contained dance tracks. Shin Hye Sung Shin Hye Sung made his debut in the Korean music industry in popular boy band Shinhwa in 1998 as the main vocalist. He continues to perform together with Shinhwa for over ten years. Since 2005 he has also released 3 solo albums of his own and is the most successful of the Shinhwa members who have released solo albums. Lee Ji Hoon Lee Ji Hoon debuted in 1996 as a solo artist when he was still in high school. His first album was a hit, it placed him at the top of the k pop charts and so became quite popular. In 2001, he released his 4.5th album in which contained Inyoung Doll , a ballad which he performed as a duet with Shin Hye Sung. Inyoung was composed specifically for them by Kangta who played the piano during the ... more details
for the Swedish space project Prisma Infobox Company company name S Group company logo company type Cooperative foundation 1904 location city Helsinki location country Finland key people Arto Hiltunen small chair official Chairman of the board of directors board small industry Retail , Horeca products Groceries, hardware, consumer durables, services. revenue 10.544 1000000000 number billion small 2007, including subsidiaries small br 7.813 1000000000 number billion small 2007, excluding subsidiaries small ref name S ryhm ja SOK yhtym 2007 Kansi http www.digipaper.fi sok yhtyma 12168 S ryhm ja SOK yhtym 2007 Kansi Bot generated title ref net income 58 1000000 number million small 2007, excluding subsidiaries small ref name S ryhm ja SOK yhtym 2007 Kansi num employees 35,899 small 2007 small ref name S ryhm ja SOK yhtym 2007 Kansi homepage http www.s kanava.fi www.s kanava.fi intl yes The S Group lang fi S ryhm is a Finland Finnish retail ing cooperative organisation, founded in 1904. It consists of 22 regional cooperatives operating all around Finland in the market s for groceries ... organisation is Suomen Osuuskauppojen Keskuskunta SOK . The group has businesses in Finland , Estonia ... spent in S Group stores, Bonus is paid back to the client into the account at S Bank. The Bonus ... co operatives The S Group consists of 22 regional co operative enterprises and 13 local co operative .... ref name SOK2007 http www.digipaper.fi sok yhtyma 13324 ref Supermarkets The S Group operates ... providing additional services. This is the largest of the S Group s supermarket chains, with nearly ... 39 . ref name SOK2007 The S Group s supermarkets retail the general private brand Rainbow , the no frills Hyv Ostos good purchase and the international Coop label. The S Group has grown significantly in Finland in recent years, growing both organically and by acquisition. Other fields The S Group ... for Peugeot . S Bank The S Group operates Finland s first so called supermarket bank , the S Bank ... more details
A pendant group or side group is a group of molecules attached to a backbone chain of a long molecule. Usually, this molecule would be a polymer . Pendant groups are different from side chain pendant chains , they are neither oligomeric nor polymeric ref GoldBookRef title pendant group side group url http goldbook.iupac.org P04472.html ref . Image Polystyrene formation.PNG center For example, the phenylgroup s are the pendant groups on a polystyrene chain. Large, bulky pendant groups such as adamantyl usually raise the glass transition temperature T sub g sub of a polymer by preventing the chains from sliding past each other easily. Short alkyl pendant groups may lower the T sub g sub by a lubricant effect. References reflist Category Organic chemistry polymer stub he ... more details
For Functional group disambiguation Moiety disambiguation Image Benzyl acetate functional groups and moieties.svg thumb 150px Benzyl acetate has an ester functional group in red , an acetyl moiety circled ... for the characteristic chemical reaction s of those molecules. The same functional group will undergo ... wiktionary moiety moiety IPA en m ti pron is often used synonymously to functional group, but, according ... moiety and an acyl moiety, but has an ester functional group. Also, it may be divided into carboxylate ... parahydroxybenzoate carries a phenol functional group in the acyl moiety. Combining the names of functional ... and to the rest of the molecule by covalent bond s. When the group of atoms is associated with the rest of the molecule primarily by ionic forces, the group is referred to more properly as a polyatomic ... to the functional group is called the alpha carbon the second, beta carbon, the third, gamma carbon, etc. If there is another functional group at a carbon, it may be named with the Greek letter, e.g. ... acid group. Synthetic chemistry Organic reactions are facilitated and controlled by the functional ... that are also selective. It may be necessary to create a functional group in the molecule to make ... . This contains the alkene functional group and can now Dimer chemistry dimer ize with another ... onto the surface of a material by chemical synthesis methods. The functional group added can be subjected ... functional group. A ligand such as an EDTA fragment is synthesized onto the amine, and a metal ... hydrogen, or a hydrocarbon side chain of any length, but may sometimes refer to any group of atoms .... class wikitable style background ffffff text align center width 550px Chemical class Group ... Phenyl RC sub 6 sub H sub 5 sub br RPh Image Phenyl group.png 75px Phenylphenyl benzene Image ... center width 550px Chemical class Group Formula Structural Formula Prefix Suffix Example haloalkane halogen halo RX Image Halide group.png 50px Halide group halo alkyl halide Image Chloroethane skeletal.png ... more details
In mathematical group theory, the automorphism group of a free group is a discrete group mathematics group of automorphism s of a free group . The quotient by the inner automorphisms is the outer automorphism group of a free group , which is similar in some ways to the mapping class group of a surface . Presentation Harvtxt Nielsen 1924 showed that the automorphism defined by the elementary Nielsen transformation s generates the full automorphism group of a finitely generated free group. Nielsen, and later Bernhard Neumann used these ideas to give finitely presented group finite presentations of the automorphism group s of free groups. This is also described in Harv Magnus Karrass Solitar 2004 loc Th 3.2 p 131 . The automorphism group of the free group with ordered basis x sub 1 sub , , x sub n sub is generated by the following 4 elementary Nielsen transformations Switch x sub 1 sub and x sub 2 sub Cyclically permute x sub 1 sub , x sub 2 sub , , x sub n sub , to x sub 2 sub , , x sub n sub , x sub 1 sub . Replace x sub 1 sub with x sub 1 sub sup 1 sup Replace x sub 1 sub with x sub 1 sub x sub 2 sub These transformations are the analogues of the elementary row operations . Transformations of the first two kinds are analogous to row swaps, and cyclic row permutations. Transformations of the third kind correspond to scaling a row by an invertible scalar. Transformations of the fourth kind correspond to row additions. Transformations of the first two types suffice to permute the generators in any order, so the third type may be applied to any of the generators, and the fourth type to any pair of generators. Nielsen gave a rather complicated finite presentation using these generators ... title Combinatorial Group Theory publisher Dover Publications location New York isbn 978 0 486 43830 ... Group Theory, Part I Haifa, 2000 url http www.math.cornell.edu vogtmann papers Autosurvey autosurvey.pdf ... group theory ... more details
November Group may refer to November Group German a 1918 German political group of artists November Group band a Boston based music group disambig ... more details
In mathematics, complex group may refer to An archaic name for the symplectic group Complex reflection group A complex algebraic group A complex Lie group mathdab ... more details
A primary group may refer to In mathematics, a special kind of group a p primary group p primary group , also called simply p group or a primary cyclic group , which is a p primary, cyclic group. In sociology, a primary and secondary groups primary group as opposed to secondary group . disambig sk Prim rna skupina ... more details
In mathematics , in the field of group theory , a T group is a group mathematics group in which the property of normal subgroup normality is transitive, that is, every subnormal subgroup is normal. Here are some facts about T groups Every simple group is a T group. Every abelian group is a T group. Every Hamiltonian group is a T group. Every nilpotent group nilpotent T group is either abelian or Hamiltonian, because in a nilpotent group, every subgroup is subnormal. Every solvable group solvable T group is metabelian group metabelian . Every normal subgroup of a T group is a T group. Every homomorphic image of a T group is a T group. References Citation last1 Robinson first1 Derek J.S. title A Course in the Theory of Groups publisher Springer Verlag location Berlin, New York isbn 978 0 387 94461 6 year 1996 DEFAULTSORT T Group Mathematics Category Group theory Category Properties of groups fi T ryhm ... more details
Hypoabelian group is an archaic name for an orthogonal group over a field of characteristic 2. A hypoabelian group can mean a group whose perfect core is trivial mathdab ... more details
In group theory , the phrase Suzuki group refers to The Suzuki sporadic group . One of a family of group of Lie type simple groups of Lie type discovered by Suzuki see Suzuki Ree groups mathdab Category Group theory ... more details
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