Idempotent deformations of finite groups
  The action of the idempotent deformations on finite groups is discussed. This action is described in terms of the homological properties of groups. The orbits of finite simple groups are determined. 
Martin Blomgren and Wojciech Chach\'olski and Emannuel Dror Farjoun   and Yoav Segev
math.GR math.KT