Nilpotent IAPS

This article defines a property that can be evaluated for an IAPS of groups

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.

Relation with other properties

Stronger properties

• Abelian IAPS
• Bounded-nilpotent IAPS

Weaker properties

• Solvable IAPS