Table of Contents
ISRN Algebra
Volume 2014, Article ID 607984, 4 pages
Research Article

On 10-Centralizer Groups of Odd Order

School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran

Received 17 February 2014; Accepted 12 March 2014; Published 1 April 2014

Academic Editors: J. Rada and S. Yang

Copyright © 2014 Z. Foruzanfar and Z. Mostaghim. 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.


Let be a group, and let denote the number of distinct centralizers of its elements. A group is called -centralizer if . In this paper, we investigate the structure of finite groups of odd order with and prove that there is no finite nonabelian group of odd order with .