SCHUNCK CLASSES OF p-SOLVABLE GROUPS

Abstract

 The paper deals with some properties of X-maximal subgroups, X-pro-jectors and X-covering subgroups in finite p-solvable groups related to a p-closed Schunck class X, where p is an arbitrary set of primes. The main results are: 1) an existence and conjugacy theorem for X-maximal subgroups; 2) the proof of a property of covering subgroups in the more general case of projectors and some important corollaries if p is the set of all primes.