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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 wikiPageRevisionID "513502499".
- CA-group hasPhotoCollection CA-group.
- CA-group subject Category:Properties_of_groups.
- CA-group type Abstraction100002137.
- CA-group type Possession100032613.
- CA-group type PropertiesOfGroups.
- CA-group type Property113244109.
- CA-group type Relation100031921.
- 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 m.0f2d5s.
- CA-group sameAs Q5008459.
- CA-group sameAs Q5008459.
- CA-group sameAs CA-group.
- CA-group wasDerivedFrom CA-group?oldid=513502499.
- CA-group isPrimaryTopicOf CA-group.