International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 17, Pages 2719-2722
doi:10.1155/IJMMS.2005.2719
On the power-commutative kernel of locally nilpotent groups
Dipartimento di Matematica e Informatica, Università di Salerno, via Ponte don Melillo, Fisciano (SA) 84084, Italy
Received 5 July 2005
Copyright © 2005 Costantino Delizia and Chiara Nicotera. 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.
Abstract
We define the power-commutative kernel of a group. In particular, we describe the power-commutative kernel of locally nilpotent groups, and of finite groups having a nontrivial center.