NSE characterization of projective special linear group L3(7)

Authors

  • SHITIAN LIU School of Science, Sichuan University of Science and Engineering, Zigong Sichuan, 643000, P. R. China

Keywords:

Element order, projective special linear group, Thompson's problem, number of elements of the same order, simple group.

Abstract

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

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Published

29-04-2014