- K-group
In mathematics , K group or K group may refer to A group in algebraic K theory A group in topological K theory A complemented group In the classification of finite simple groups, K group may mean a group whose proper subgroups only have composition factors amongst the known finite simple groups mathdab ... more details
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- Infinite group
In group theory , an area of mathematics , an infinite group is a group mathematics group , of which the forgetful functor underlying set contains an infinite set infinite number of element mathematics element s. Examples R , Lie group General linear group Category Group theory de Unendliche Gruppe nl Oneindige groep ru ... more details
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- M-group
In mathematics, especially in the field of group theory, the term M group may refer to a few distinct concepts monomial group , in character theory, a group whose complex irreducible characters are all monomial Iwasawa group or modular group, in the study of subgroup lattices, a group whose subgroup lattice is modular virtually polycyclic group , in infinite group theory, a group with a polycyclic subgroup of finite index mathdab Category Article Feedback 5 ... more details
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- Dual group
In mathematics , the dual group may be The Pontryagin duality Pontryagin dual of a locally compact abelian group The Langlands dual of a reductive algebraic group The Deligne Lusztig group Deligne Lusztig dual of a reductive group over a finite field. disambig ... more details
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- Additive group
Wiktionary An additive group may refer to an abelian group , when it is written using the symbol for its binary operation a group scheme representing the underlying additive group functor the elements of a ring mathematics considered as a group under addition mathdab es Grupo aditivo ... more details
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- Group 8
Group 8 may refer to Group 8 element , a series of elements in the Periodic Table Group 8 Rugby League , a rugby league competition Group 8 Sweden , a feminist movement in Sweden Group VIII, former nomenclature for the noble gas es disambig ... more details
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- Suzuki group
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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- Marxist Group
Marxist Group may refer to Marxist Group Germany Marxist Group Ger. Marxistische Gruppe , a West German communist organization active in the 1970s and 1980s Marxist Group UK Marxist Group , an early Trotskyist group in the United Kingdom Marxist Group may also refer to International Marxist Group , a Trotskyist political party in Britain between 1964 and 1987 International Marxist Group Germany International Marxist Group Ger. Gruppe Internationale Marxisten , a Trotskyist group in West Germany Revolutionary Marxist Group , a Trotskyist political organization in Canada in the 1970s Revolutionary Marxist Group Ireland Revolutionary Marxist Group , a Trotskyist organization in Ireland during the 1970s disambig ... more details
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- Amide group
Amide group may refer to Amide , an organic functional group characterized by a carbonyl group linked to a nitrogen atom, or a compound that contains this functional group Peptide bond , a chemical bond formed between two molecules when the carboxyl group of one molecule reacts with the amine group of the other molecule disambig ... more details
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- Rotation group
In mathematics rotation group may refer to Circle group , the rotation group in two dimensions Rotation group SO 3 , the rotation group in three dimensions Rotations in 4 dimensional Euclidean space , the group SO 4 Orthogonal group , the general rotation group A rotation group or proper symmetry group with fixed point Cyclic group , rotational symmetry group for an object with n fold symmetry in a plane of rotation Point groups in three dimensions Rotation groups Point groups in three dimensions that are rotation groups See also Rotation disambiguation Symmetry group disambiguation mathdab ... more details
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- Special group
Special group may refer to Special Groups Iraq , insurgent groups operating within Iraq Special Groups Portugal small military units, set up by the Portuguese Armed Forces in Angola and in Mozambique. NSC 5412 2 Special Group a subcommittee of the United States National Security Council responsible for coordinating government covert operations. Special group algebraic group theory in mathematics Special group finite group theory in mathematics Special linear group in mathematics Special orthogonal group in mathematics disambig ... more details
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- Group D
Group D may refer to One of six or eight groups of four teams competing at the FIFA World Cup 2010 FIFA World Cup Group D 2006 FIFA World Cup Group D 2002 FIFA World Cup Group D 1998 FIFA World Cup Group D 1994 FIFA World Cup Group D 1990 FIFA World Cup Group D Group D Production Sports Cars , a motor racing category current in Australia from 1972 to 1981 Disambig ... more details
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- Group 6
Group 6 may refer to Group 6 element , chemical element classification Group 6 racing , FIA classification for sports car racing Group 6 Rugby League , rugby league competition in New South Wales, Australia disambig ... more details
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- Group of Seven
Group of Seven can refer to G7 Otherwise this ll loop around dab pages the Group of seven industrially advanced nations known as G8 after adding Russia in 1997 . Group of Seven artists a group of Canadian landscape artists. disambig ... more details
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- Steinberg group
In mathematics , Steinberg group means either of two distinct, though related, constructions of the mathematician Robert Steinberg Steinberg group K theory St A in algebraic K theory. Steinberg group Lie theory is a twisted group of Lie type. mathdab ... more details
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- Lattice group
In mathematics , the term lattice group is used for two distinct notions a lattice group lattice , a discrete subgroup of R sup n sup and its generalizations. a lattice ordered group , a group that with a partial ordering that is a lattice order lattice order. mathdab ... more details
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- Small group
Small group can mean In psychology, a group of 3 to 20 individuals, see communication in small groups . In mathematics, a group of small order, see list of small groups . In connection with churches, a cell group . DAB ... more details
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- Companion Group
Image Brussels griffon Stewie galawebdesign.jpg thumb Brussels Griffon Companion Group is the name of a Breed Groups dog breed group of Dog dogs , used by Kennel club kennel clubs to classify a defined ... kennel clubs the Companion Group is called the Companion and Toy Group . The international kennel club association, the F d ration Cynologique Internationale has companion dogs in Group 9 Companion .... The term companion dog does not refer to any one Dog type type of dog. Companion Group breeds United Kennel Club The United Kennel Club US defines the dogs in its Companion Dog Group to be miniaturized ... Club s Companion Dog Group breeds may be found in other kennel club s Toy or Non Sporting Groups, although ... by the United Kennel Club US in their Companion Dog Group with the way the same breeds are categorised ... wikitable style width 100 Comparison of the United Kennel Club Companion Dog Group with breed group placement by other major kennel clubs ref name kennelclubs Kennel Club Group information http www.fci.be ... Australian National Kennel Council breeds by group http www.nzkc.org.nz dogselect.html New Zealand Kennel ... width 14 American Kennel Club style vertical align top style font style italic Affenpinscher Group 2 Section 1.1 Pinscher Toy Group Group 1 Toys Toy Group Group 5 Toys Toy Group style vertical align top style font style italic Bichon Frise Group 9 Companion and Toy Section 1.1 Bichons Toy Group Group 1 Toys Toy Group Group 6 Non Sporting Non Sporting Group style vertical align top style font style italic Bolognese dog Bolognese Group 9 Companion and Toy Section 1.1 Bichons Toy Group not recognised Toy Group not recognised not recognised style vertical align top style font style italic Boston Terrier Group 3 Terriers Section 3 Bull type Terriers Utility Group Group 7 Non Sporting Non Sporting Group Group 6 Non Sporting Non Sporting Group style vertical align top style font style italic Brussels Griffon Group 9 Companion and Toy Dogs Section 3 Small Belgian Dogs 3.1 Griffons no. 80 Toy ... more details
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- Superperfect group
In mathematics , in the realm of group theory , a group mathematics group is said to be superperfect when its first two group homology homology group s are trivial group trivial math H 1 G mathbf Z H 2 G mathbf Z 0. math This is stronger than a perfect group, which is one whose first homology group vanishes. In more classical terms, a superperfect group is one whose abelianization and Schur multiplier both vanish abelianization equals the first homology, while the Schur multiplier equals the second homology. Definition The first homology group of a group is the commutator subgroup abelianization of the group itself, since the homology of a group G is the homology of any Eilenberg MacLane space of type K G ,1 the fundamental group of a K G ,1 is G , and the first homology of K G ,1 is then abelianization of its fundamental group. Thus, if a group is superperfect, then it is perfect group perfect . A finite perfect group is superperfect if and only if it is its own universal central extension UCE , as the second homology group of a perfect group parametrizes central extensions. Examples For example, if G is the fundamental group of a homology sphere , then G is superperfect. The smallest finite, non trivial superperfect group is the binary icosahedral group the fundamental group of the Henri Poincar Poincar homology sphere . The alternating group math A 5 math is perfect but not superperfect it has a non trivial central extension, the binary icosahedral group which is in fact its UCE, and is superperfect . More generally, the projective special linear group s PSL n , q are simple hence perfect except for PSL 2,2 and PSL 2,3 , but not superperfect, with the special linear group s SL n , q as central extensions. This family includes the binary icosahedral group thought of as SL 2,5 as UCE of math A 5 math thought of as PSL 2,5 . Every acyclic space acyclic group is superperfect, but the converse is not true the binary icosahedral group is superperfect, but not acyclic ... more details
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- Volcanic group
A volcanic group or, equivalently, a volcanic complex is a collection of related volcano es or Landform Volcanic landforms volcanic landforms . Note that the term is also used in a different sense when it denotes a suite of associated rock stratum strata largely of volcanic origin see group stratigraphy for details. Notable volcanic groups class wikitable sortable Volcanic Group Location Akan Volcanic Complex JPN Antillanca Group CHI Mount Azuma Azuma Group JPN Banda Islands IDN Blake River Megacaldera Complex CAN Borrowdale Volcanic Group UK Carmacks Group CAN Carr n Los Venados CHI Cochiquito Volcanic Group ARG Coppermine River Group CAN Dacht i Navar Group AFG Daisetsuzan Volcanic Group JPN Duluth Complex USA Ellesmere Island Volcanics CAN Fueguino CHI Gal pagos Islands ECU Gambier Group CAN Hakk da Mountains JPN Heard and McDonald Islands AUS Jemez Mountains USA Kaiserstuhl DEU Karpinsky Group RUS Lomonosov Group RUS Mount Meager Meager Group CAN Milbanke Sound Group CAN Monti della Tolfa ITA Mount Edziza volcanic complex CAN Mount Raiden Volcanic Group JPN Nipesotsu Maruyama Volcanic Group JPN Niseko Volcanic Group JPN Northern Yatsugatake Volcanic Group JPN Olkhovy Volcanic Group RUS Pinacate Peaks MEX Pocdol Mountains PHI Puyuhuapi volcanic group CHI Rat Islands USA Shikaribetsu Volcanic Group JPN Skukum Group CAN Southern Yatsugatake Volcanic Group JPN Spences Bridge Group CAN Takuan Group PNG Tatun Volcano Group TWN Tokachi Volcanic Group JPN Tomuraushi Volcanic Group JPN Tristan da Cunha UK Vernadskii Ridge RUS Vitu Islands PNG Yasawa Group FIJ See also Complex volcano Geomorphology Landform Volcanic landforms Landforms List of volcanoes Types of volcanic eruptions Volcanic field Category Volcanic landforms Category Volcanoes Category Volcanic groups he pt Grupo vulc nico ... more details
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- Group 5
Group 5 may refer to Group 5 element , chemical element classification Group 5 racing , FIA classification for cars in auto racing disambig es Grupo 5 ... more details
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- Group 4
Group 4 may refer to Group 4 element , chemical element classification Group 4 racing , classification for cars in auto racing and rallying Group 4 Securicor , prominent British security company IB Group 4 subjects , subject group for the experimental sciences in the International Baccalaureate program Fax Group Group 4 image format , Group 3 & Group 4 are digital technical standards for image compressing and sending in faxes, and in the Tagged Image File Format TIFF Group of Four , the Group of Four also known as G4 is a coalition of Brazil, Germany, India and Japan, who seek to reform membership in the United Nations Security Council disambig ... more details
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- Group 9
Group 9 may refer to Group 9 element Group 9 Rugby League disambig Long comment to avoid being listed on short pages ... more details
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- Cobra Group
Cobra Group may refer to Cobra Group company , a direct sales company COBRA avant garde movement , an art movement also known as Cobra group Disambig ... more details
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- Rainbow Group
Rainbow Group may refer to two political groups of the European Parliament Rainbow Group 1984 1989 Rainbow Group 1989 1994 disambig ... more details
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