Basis normalizers and Carter subgroups in a class of locally finite groups

Abstract

We shall be working throughout this paper in the class of locally finite groups introduced in (3) and further discussed in (5) and (6), and all groups appearing will be assumed to belong to this class. By definition, is the largest subgroupclosed class of locally finite groups satisfying the conditions:U1. If G ε then G has a finite serieswith locally nilpotent factors.