P-group of nilpotency class less than p

Definition
A p-group of nilpotence class less than p is a group $$G$$ such that the order of every element of $$G$$ is the power of a particular prime number $$p$$, and $$G$$ is a nilpotent group of defining ingredient::nilpotence class at most $$p-1$$.

Stronger properties

 * Weaker than::Abelian p-group
 * Weaker than::Odd-order class two p-group

Weaker properties

 * Stronger than::Regular p-group
 * Stronger than::Lazard Lie group