ON c-NORMAL MAXIMAL AND MINIMAL SUBGROUPS OF SYLOW SUBGROUPS OF FINITE GROUPS

Abstract

A subgroup H is called c-normal in G if there exists a normal subgroup N of G such that HN = G and H ∩ N ≤ HG = CoreG(H). The purpose of this paper is to generalize some results obtained by some authors about supersolvable groups to a saturated formation containing the class of supersolvable groups.