Recognition of the groups E7(2) and E7(3) by prime graph

被引：0
|
作者：
A. S. Kondrat’ev
机构：
[1] Ural Branch of the Russian Academy of Sciences,Institute of Mathematics and Mechanics
[2] Ural Federal University,Institute of Mathematics and Computer Science
来源：
Proceedings of the Steklov Institute of Mathematics | 2015年 / 289卷
关键词：
finite group; simple group; spectrum; prime graph; recognition by spectrum or by prime graph;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is proved that the groups E7(2) and E7(3) are recognizable by their prime graphs. As a corollary, this completes the proof of V.D. Mazurov’s conjecture that every finite simple group whose prime graph has at least three connected components is either recognizable by spectrum or isomorphic to A6.
引用
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页码：139 / 145
页数：6
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