Characterization of the finite simple groups by spectrum and order

被引：0
|
作者：
A. V. Vasil’ev
M. A. Grechkoseeva
V. D. Mazurov
机构：
[1] Russian Academy of Sciences,Sobolev Institute of Mathematics, Siberian Branch
[2] Novosibirsk State University,undefined
来源：
Algebra and Logic | 2009年 / 48卷
关键词：
finite group; simple group; element orders; recognizability by spectrum and order; symplectic group; orthogonal group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give an affirmative answer to Question 12.39 in the Kourovka Notebook. Namely, it is proved that a finite simple group and a finite group having equal orders and same sets of element orders are isomorphic.
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页码：385 / 409
页数：24
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