Cyclic 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): cyclic group
View a complete list of such conjunctions

Definition

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

Examples

VIEW: subgroups satisfying this property | subgroups dissatisfying property characteristic subgroup | subgroups dissatisfying property cyclic group
VIEW: Related subgroup property satisfactions | Related subgroup property dissatisfactions

Relation with other properties

Weaker properties

• Abelian characteristic subgroup
• Hereditarily characteristic subgroup
• Cyclic normal subgroup