Nilpotent IAPS

Definition
A nilpotent IAPS is an IAPS in which every member group is a nilpotent group. Note that this does not imply that there is a common upper bound for the nilpotence class of all members. That is a stronger property going under the name bounded-nilpotent IAPS.

Stronger properties

 * Abelian IAPS
 * Bounded-nilpotent IAPS

Weaker properties

 * Solvable IAPS