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Groupprops β

Cyclic normal subgroup

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): cyclic group
View a complete list of such conjunctions

Contents

Definition

Symbol-free definition

A subgroup of a group is termed a cyclic normal subgroup if it is cyclic as a group and normal as a subgroup.

Examples

Relation with other properties

Facts