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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 groups. The groups were first studied in the 1940s by Philip Hall, and are still studied today. A great deal is known about their structure.

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Definition

History

Properties

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A-group

Nodes33
Edges32
Triples89
Avg. degree1.94
Density0.060606
Components1

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A-group

Top relations

related to References · 61
A-group → A-groups, Algebra, Annals, Aviad, Berlin, Bibcode, Blackburn, Cambridge Philos, Cambridge Tracts, Cambridge University Press, Endliche Gruppen, Enumeration, Finite, Geetha, German, IM1969v003n04ABEH000807, ISBN, ISSN, Izvestiya Akademii Nauk SSSR, John
related to history · 12
A-group → A-groups, Carter, Hall, Hall's, Interest, Modern, Noboru Itô, Philip Hall, Roger, Taunt, Taunt's, The
related to Properties · 12
A-group → A-groups, All, Every, For, Hall, Janko, Like Z-groups, PSL, Sylow, Taunt, The, The Fitting
is a · 2
A-group → finite group with the property that all of its Sylow subgroups are abelian, type of group that is similar to abelian groups
related to Definition · 2
A-group → An A-group, Sylow

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Important terminology

groups abelian finite a-groups mr soluble doi group subgroups sylow 10 hall mathematics issn series first taunt enumeration journal philip

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
A-groupis atype of group that is similar to abelian groups0.90text
A-groupis afinite group with the property that all of its Sylow subgroups are abelian0.90text
A-grouprelated to DefinitionAn A-group0.60section
A-grouprelated to DefinitionSylow0.60section
A-grouprelated to historyThe0.60section
A-grouprelated to historyPhilip Hall0.60section
A-grouprelated to historyA-groups0.60section
A-grouprelated to historyHall's0.60section
A-grouprelated to historyTaunt0.60section
A-grouprelated to historyNoboru Itô0.60section
A-grouprelated to historyRoger0.60section
A-grouprelated to historyCarter0.60section

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