A class of generalized supersoluble groups

Abstract

This paper is devoted to the study of groups G in the universe cL of all radical locally finite groups with min-p for all primes p such that every δ-chief factor of G is either a cyclic group of prime order or a quasicyclic group. We show that within the universe cL this class of groups behaves very much as the class of finite supersoluble groups.

On periodic radical groups in which permutability is a transitive relation

“…This class of groups, denoted by U * , has been introduced and studied in [3]. It is contained in the class of hypercyclic groups and the groups of this class behave very much as finite supersoluble groups.…”