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Abelian conjugacy-closed subgroup

This article describes a property that arises as the conjunction of a subgroup property: conjugacy-closed subgroup with a group property (itself viewed as a subgroup property): Abelian group
View a complete list of such conjunctions

Contents

Definition

Definition with symbols

A subgroup H of a group G is termed an Abelian conjugacy-closed subgroup if it satisfies the following equivalent conditions:

Relation with other properties

Weaker properties