# Odd-order p-group

## Contents

## 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.

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.