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Quasirecognition by prime graph of the simple groups $G_2(q)$ and $^2B_2(q)$
Zhang Qingliang 1,Shi Wujie 1 #,Shen Rulin 2
1.School of Mathmatical Science, Suzhou University
2.Department of Mathematics, Hubei Institute for Nationalities
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,教育部博士点基金(No.10871032,20060285002)
Opened online:27 October 2009
Accepted by: none
Citation: Zhang Qingliang ,Shi Wujie,Shen Rulin.Quasirecognition by prime graph of the simple groups $G_2(q)$ and $^2B_2(q)$[OL]. [27 October 2009] http://en.paper.edu.cn/en_releasepaper/content/36172
 
 
Let G be a finite group. The main result is as follows: if G is a finite group such that Γ(G) = Γ(M), where M is G2(q) (q = 32n+1) or 2B2(q) (q = 22n+1 > 2), then G is quasirecognizable by prime graph. And furthermore we generalize some known results of W. Shi for G2(q) and 2B2(q).
Keywords:quasirecognition;finite simple group;prime graph
 
 
 

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