A NEW CHARACTERIZATION OF \(L_2(p)\) WITH p ∈ {19, 23} BY NSE

Authors

  • Qinhui Jiang University of Jinan - School of Mathematical Sciences
  • Changguo Shao University of Jinan - School of Mathematical Sciences

Keywords:

Finite groups, numbers of elements with the same order, linear groups

Abstract

Let G be a group.  We denote by nse(G) := {mk | k πe(G)}, where πe(G) is the set of element orders of G and mk is the number of elements of order k in G.  In this paper, we characterize simple linear group L2(p) uniquely by set nse(L2(p)) when p {19, 23}.

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Published

2017-07-31

How to Cite

Jiang, Q., & Shao, C. (2017). A NEW CHARACTERIZATION OF \(L_2(p)\) WITH p ∈ {19, 23} BY NSE. Italian Journal of Pure and Applied Mathematics, 37, 624–630. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6770

Issue

Section

Articoli - Forum Editrice

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