Subgroup of finite cyclic 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: finite cyclic 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 finite cyclic group if the whole group is a finite cyclic group.
Relation with other properties
Weaker properties
- Variety-containing subgroup of finite group
- Quotient-variety-containing subgroup of finite group
- Prehomomorph-contained subgroup of finite group
- Isomorph-free subgroup of finite group
- Fully invariant subgroup of finite group
- Characteristic subgroup of finite group
- Normal subgroup of finite group
- Subgroup of finite abelian group