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A CHARACTERIZATION OF SPORADIC SIMPLE GROUPS BY NSE AND ORDER

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P. O. Box: 14115-137, Tehran, Iran

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ABOLFAZL TEHRANIAN

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

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https://doi.org/10.1142/S0219498812501587Cited by:10 (Source: Crossref)

Abstract

Let G be a finite group and nse(G) the set of numbers of elements with the same order in G. In this paper, we prove that if ∣G∣ = ∣S∣ and nse(G) = nse(S), where S is a sporadic simple group, then the finite group G is isomorphic to S.

Keywords:

AMSC: 20D06, 20D60

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