Group of prime power order

From Groupprops
Jump to: navigation, search
The article defines a property of groups, where the definition may be in terms of a particular prime that serves as parameter
View other prime-parametrized group properties | View other group properties
This article defines a property that can be evaluated for finite groups (and hence, a particular kind of group property)
View other properties of finite groups OR View all group properties

Definition

Symbol-free definition

A group of prime power order is defined in the following equivalent ways:

Equivalence of definitions

For full proof, refer: Equivalence of definitions of group of prime power order

Relation with other properties

Weaker properties

Specific information

See groups of prime power order for more specific information.