Subgroup of abelian group

From Groupprops

This article describes a property that arises as the conjunction of a subgroup property: subgroup with a group property imposed on the ambient group: abelian group
View a complete list of such conjunctions | View a complete list of conjunctions where the group property is imposed on the subgroup

Definition

A subgroup of a group is termed a subgroup of abelian group if the ambient group is an abelian group.

Relation with other properties

Weaker properties

Properties weaker than this are properties true for all subgroups of abelian groups. These can be viewed at Category:Abelian-tautological subgroup properties.