P-group

Definition
Let $$p$$ be a prime. A $$p$$-group is a group in which every element has finite order, and the order of every element is a power of $$p$$.

The term $$p$$-group is typically used for a finite $$p$$-group, which is equivalent to a group of prime power order.

Stronger properties

 * Weaker than::Group of prime power order
 * Weaker than::Nilpotent p-group:

Weaker properties

 * Stronger than::Periodic group