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Volume :41 Issue : 2 2014      Add To Cart                                                                    Download

NSE characterization of projective special linear group L3(7)

Auther : SHITIAN LIU

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