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- CA-group abstract "In mathematics, in the realm of group theory, a group is said to be a CA-group or centralizer abelian group if the centralizer of any nonidentity element is an abelian subgroup. Finite CA-groups are of historical importance as an early example of the type of classifications that would be used in the Feit–Thompson theorem and the classification of finite simple groups. Several important infinite groups are CA-groups, such as free groups, Tarski monsters, and some Burnside groups, and the locally finite CA-groups have been classified explicitly. CA-groups are also called commutative-transitive groups (or CT-groups for short) because commutativity is a transitive relation amongst the non-identity elements of a group if and only if the group is a CA-group.".
- CA-group wikiPageID "5745198".
- CA-group wikiPageLength "5586".
- CA-group wikiPageOutDegree "43".
- CA-group wikiPageRevisionID "622869857".
- CA-group wikiPageWikiLink Abelian_group.
- CA-group wikiPageWikiLink Alternating_group.
- CA-group wikiPageWikiLink Brauer–Suzuki–Wall_theorem.
- CA-group wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- CA-group wikiPageWikiLink Burnsides_problem.
- CA-group wikiPageWikiLink CN-group.
- CA-group wikiPageWikiLink Category:Properties_of_groups.
- CA-group wikiPageWikiLink Center_(group_theory).
- CA-group wikiPageWikiLink Centralizer_and_normalizer.
- CA-group wikiPageWikiLink Classification_of_finite_simple_groups.
- CA-group wikiPageWikiLink Dihedral_group.
- CA-group wikiPageWikiLink Feit–Thompson_theorem.
- CA-group wikiPageWikiLink Finite_field.
- CA-group wikiPageWikiLink Finite_group.
- CA-group wikiPageWikiLink Free_group.
- CA-group wikiPageWikiLink Frobenius_group.
- CA-group wikiPageWikiLink Group_(mathematics).
- CA-group wikiPageWikiLink Group_theory.
- CA-group wikiPageWikiLink Locally_finite_group.
- CA-group wikiPageWikiLink Mathematics.
- CA-group wikiPageWikiLink Michio_Suzuki.
- CA-group wikiPageWikiLink Order_(group_theory).
- CA-group wikiPageWikiLink Proceedings_of_the_American_Mathematical_Society.
- CA-group wikiPageWikiLink Projective_linear_group.
- CA-group wikiPageWikiLink SL2(R).
- CA-group wikiPageWikiLink Semidirect_product.
- CA-group wikiPageWikiLink Simple_group.
- CA-group wikiPageWikiLink Solvable_group.
- CA-group wikiPageWikiLink Springer_Science+Business_Media.
- CA-group wikiPageWikiLink Subgroup.
- CA-group wikiPageWikiLink Tarski_monster_group.
- CA-group wikiPageWikiLink Transitive_relation.
- CA-group wikiPageWikiLinkText "CA-group".
- CA-group wikiPageUsesTemplate Template:Citation.
- CA-group wikiPageUsesTemplate Template:Harv.
- CA-group wikiPageUsesTemplate Template:Reflist.
- CA-group subject Category:Properties_of_groups.
- CA-group hypernym Subgroup.
- CA-group type EthnicGroup.
- CA-group type Property.
- CA-group comment "In mathematics, in the realm of group theory, a group is said to be a CA-group or centralizer abelian group if the centralizer of any nonidentity element is an abelian subgroup. Finite CA-groups are of historical importance as an early example of the type of classifications that would be used in the Feit–Thompson theorem and the classification of finite simple groups.".
- CA-group label "CA-group".
- CA-group sameAs Q5008459.
- CA-group sameAs m.0f2d5s.
- CA-group sameAs Q5008459.
- CA-group wasDerivedFrom CA-group?oldid=622869857.
- CA-group isPrimaryTopicOf CA-group.