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连通交错单群的素图刻画
引用本文:何怀玉.连通交错单群的素图刻画[J].湖北民族学院学报(哲学社会科学版),2011(2).
作者姓名:何怀玉
作者单位:上海政法学院经济管理系;
基金项目:上海市优秀青年基金资助项目(szf10016)
摘    要:设G是个有限群,给出了群G的素图.利用素图的性质,首次对连通的有限单群进行刻画,得到了与交错单群Alt22的素图一样的有限群的结构.

关 键 词:单群  交错群  刻画  素图  

A Characterization of Connected Alternating Simple Group by Its Prime Graph
HE Huai-yu.A Characterization of Connected Alternating Simple Group by Its Prime Graph[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2011(2).
Authors:HE Huai-yu
Institution:HE Huai-yu(Department of Economics and Management,Shanghai University of Political Science and Law,Shanghai 201701,China)
Abstract:Let G be a finite group,the prime graph GK(G) of G is defined.By prime graph,a finite simple group with connected prime graph is characterized firstly,and the construction of finite group G with the same prime graph as alternating simple group Alt22 is obtained.
Keywords:simple group  alternating group  characterization  prime graph  
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