A CHARACTERIZATION OF SPORADIC SIMPLE GROUPS BY NSE AND ORDER-Reference-Cited by-同舟云学术

A CHARACTERIZATION OF SPORADIC SIMPLE GROUPS BY NSE AND ORDER

Published:2012-12-16 Issue:02 Volume:12 Page:1250158
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

ASBOEI ALIREZA KHALILI¹,AMIRI SEYED SADEGH SALEHI¹,IRANMANESH ALI²,TEHRANIAN ABOLFAZL¹

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498812501587

Reference6 articles.

1. The Theory of Finite Groups

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