International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 1, Pages 135-146
doi:10.1155/S0161171287000176

Finite p′-nilpotent groups. I

Abstract

In this paper we consider finite p′-nilpotent groups which is a generalization of finite p-nilpotent groups. This generalization leads us to consider the various special subgroups such as the Frattini subgroup, Fitting subgroup, and the hypercenter in this generalized setting. The paper also considers the conditions under which product of p′-nilpotent groups will be a p′-nilpotent group.