NSE characterization of projective special linear group L3(7)
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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