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International Journal of Mathematics and Mathematical Sciences
Volume 10, Issue 1, Pages 135-146

Finite p-nilpotent groups. I

Department of Mathematics and Computer Science, Austin Peay State University, Clarksville 37044, Tennessee, USA

Received 8 February 1986; Revised 1 July 1986

Copyright © 1987 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.