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Recognition by spectrum for finite simple groups of Lie type
M.A. Grechkoseeva 1,Wujie Shi 2 * #,Andrey V. Vasilev 1
1.Sobolev Institute of Mathematics
2.Suzhou University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,教育部博士点基金,俄罗斯基金一,俄罗斯基金二,俄罗斯基金三(No.10571128,20060285002,05--01--00797 and 06--01--39001,No.~2006.1.2,MD-2848.2007.1)
Opened online:21 January 2008
Accepted by: none
Citation: M.A. Grechkoseeva,Wujie Shi,Andrey V. Vasilev.Recognition by spectrum for finite simple groups of Lie type[OL]. [21 January 2008] http://en.paper.edu.cn/en_releasepaper/content/18241
 
 
The goal of this paper is to survey new results on the recognition problem. We focus our attention on the methods recently developed in this area. In the last section we review arithmetical characterization of spectra of finite simple groups and conclude with a list of groups for which the recognition problem was solved within last three years. In each section we formulate related open problems.
Keywords:finite simple group, spectrum, prime graph, recognition problem
 
 
 

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