Recognizing by Spectrum for the Automorphism Groups of Sporadic Simple Groups

被引：2

作者：

Mazurov V.D. ^{[1
]}

Moghaddamfar A.R. ^{[2
]}

机构：

[1] Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk

[2] Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box 16315-1618, Tehran

来源：

Communications in Mathematics and Statistics | 2015年 / 3卷 / 4期

基金：

俄罗斯科学基金会;

关键词：

Automorphism groups of sporadic simple groups; Prime graph; Recognizable by spectrum;

D O I：

10.1007/s40304-015-0070-1

中图分类号：

学科分类号：

摘要：

The spectrum of a finite group is the set of its element orders, and two groups are said to be isospectral if they have the same spectra. A finite group G is said to be recognizable by spectrum, if every finite group isospectral with G is isomorphic to G. We prove that if S is one of the sporadic simple groups McL, M12, M22, He, Suz and O′N, then Aut (S) is recognizable by spectrum. This finishes the proof of the recognizability by spectrum of the automorphism groups of all sporadic simple groups, except J2. © 2015, School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag Berlin Heidelberg.

引用

页码：491 / 496

页数：5

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