Homocyclic group of prime power order

Definition
A homocyclic group of prime power order is a group satisfying the following two equivalent conditions:


 * 1) It is the direct product of finitely many isomorphic cyclic groups, each of prime power order.
 * 2) It is a group of prime power order that is also a homocyclic group.

Stronger properties

 * Weaker than::Cyclic group of prime power order
 * Weaker than::Elementary abelian group

Weaker properties

 * Stronger than::Group of prime power order in which all maximal subgroups are isomorphic
 * Stronger than::Group of prime power order in which all maximal subgroups are automorphic