Normal subgroup whose automorphism group is abelian
This article describes a property that arises as the conjunction of a subgroup property: normal subgroup with a group property (itself viewed as a subgroup property): group whose automorphism group is abelian
View a complete list of such conjunctions
- is a normal subgroup of .
- is a group whose automorphism group is abelian: the automorphism group is an abelian group.
Relation with other properties
|Property||Meaning||Proof of implication||Proof of strictness (reverse implication failure)||Intermediate notions|
|cyclic normal subgroup||cyclic group and normal subgroup||cyclic implies abelian automorphism group||abelian automorphism group not implies abelian|||FULL LIST, MORE INFO|