SOME APPLICATIONS OF ORE'S GENERALIZED THEOREMS IN THE FORMATION THEORY

Abstract

Ore's theorems [9] are a powerful tool in the formation theory of finite solvable groups. In [4] we obtained a generalization of some of these theorems on finite p-solvable groups, where p is an arbitrary set of primes. The present paper applies Ore's generalized theorems to prove the existence and conjugacy of covering subgroups in finite p-solvable groups.