Bounded-nilpotent IAPS

Definition
A bounded-nilpotent IAPS is an IAPS of groups such that the following equivalent conditions are satisfied:


 * The lower central sub-IAPS series terminates, in finitely many steps, at the trivial sub-IAPS
 * Every member is a nilpotent group and there is a common finite bound on the nilpotence class of all members

Stronger properties

 * Abelian IAPS

Weaker properties

 * Bounded-solvable IAPS
 * Nilpotent IAPS
 * Solvable IAPS