Fusions in N-interior G-algebras

Abstract

As in §5, G is a finite group, N is a normal subgroup of G and A is an N-interior G-algebra; moreover, we may assume that A is inductively complete. It is already clear that G acts on the set of all the pointed groups on A; furthermore, if H _ß is a pointed group on A then any x E G naturally determines a group homomorphism k _x : H → H ^x such that k _x (y) = y ^x for any y E H.