Abelian characteristic subgroup
This article describes a property that arises as the conjunction of a subgroup property: characteristic subgroup with a group property (itself viewed as a subgroup property): Abelian group
View a complete list of such conjunctions
Definition
Symbol-free definition
A subgroup of a group is termed an Abelian characteristic subgroup if it is Abelian as a group and characteristic as a subgroup.
Examples
This article describes a property that arises as the conjunction of a subgroup property: characteristic subgroup with a group property (itself viewed as a subgroup property): abelian group
View a complete list of such conjunctions
Relation with other properties
Stronger properties
- Cyclic characteristic subgroup
- Characteristic central subgroup
- Abelian critical subgroup
- Maximal among Abelian characteristic subgroups