Table of Contents
Algebra
Volume 2013, Article ID 983186, 5 pages
http://dx.doi.org/10.1155/2013/983186
Research Article

A Characterization of Projective Special Unitary Group U3(7) by nse

School of Science, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China

Received 13 April 2013; Revised 4 July 2013; Accepted 24 July 2013

Academic Editor: Shilin Yang

Copyright © 2013 Shitian Liu. 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

Let a group and be the set of element orders of . Let and let be the number of elements of order in . Let nse . In Khatami et al. and Liu's works, and are uniquely determined by nse . In this paper, we prove that if is a group such that nse = nse , then .