A Bryce and Cossey type theorem in a class of locally finite groups

Abstract

In this paper the subgroup-closed saturated Fitting formations of radical locally finite groups with min-p for all p are fully characterised. Moreover the study of a class of generalised nilpotent groups introduced by Ballester-Bolinches and Pedraza is continued.

On a class of locally finite T-groups

“…It has been studied extensively in [1,2,3]. This class is intermediate between nilpotent and locally nilpotent groups, and it is the natural generalisation of the class of finite nilpotent groups from the finite universe to the universe cL.…”