A NEW CHARACTERIZATION OF \(L_2(p)\) WITH p ∈ {19, 23} BY NSE
Keywords:
Finite groups, numbers of elements with the same order, linear groupsAbstract
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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Copyright (c) 2017 Qinhui Jiang, Changguo Shao

This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

