Odd-order p-group

Definition

An odd-order p-group, or a group of odd prime power order, is defined in the following equivalent ways:

• Its order is an odd number and is also a prime power.
• Its order is a power of an odd prime.

Relation with other properties

Stronger properties

• Odd-order Abelian p-group
• Group of odd prime order

Weaker properties

• Odd-order nilpotent group
• Odd-order group