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Abstract
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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.

Costantino Delizia and Chiara Nicotera

Dipartimento di Matematica e Informatica, Università di Salerno, via Ponte don Melillo, Fisciano (SA) 84084, Italy

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.