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Quasirecognition by prime graph of the simple group $ E_7(q)$
Zhang Qingliang 1,Shi Wujie 1 #,Shen Rulin 2
1.School of Mathematical Sciences, 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:28 October 2009
Accepted by: none
Citation: Zhang Qingliang ,Shi Wujie,Shen Rulin.Quasirecognition by prime graph of the simple group $ E_7(q)$[OL]. [28 October 2009] http://en.paper.edu.cn/en_releasepaper/content/36185
 
 
Let $G$ be a finite group. We know that E7(q)with connected prime graph is not recognizable by prime graph. Thus in this paper we consider E7(q)with disconnected prime graph. The main result is as follows: the simple group E7(q)with disconnected prime graph is quasirecognizable by prime graph, and furthermore we show that if |G|=|E7(q)| and Γ(G) =Γ(E7(q)), where E7(q)has a disconnected prime graph, then G = E7(q). In fact we give a generalization of some known results of W. Shi for E7(q).
Keywords:quasirecognition;finite simple group;prime graph
 
 
 

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