Bounded-solvable IAPS

Definition
An IAPS of groups is termed a bounded-solvable IAPS if it satisfies the following equivalent conditions:


 * Every member is a solvable group, and there is a common finite bound on the solvable lengths of all the members
 * The derived sub-IAPS series terminates, in finitely many steps, at the identity.

Stronger properties

 * Abelian IAPS
 * Bounded-nilpotent IAPS

Weaker properties

 * Solvable IAPS