COMPOSITION FACTORS OF THE FINITE GROUPS ISOSPECTRAL TO SIMPLE CLASSICAL GROUPS

被引：0
|
作者：
Staroletov, A. M. [1 ]
机构：
[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2021年 / 62卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
simple classical group; exceptional group of Lie type; element orders; recognition by spectrum; RECOGNITION; RECOGNIZABILITY; SPECTRUM;
D O I：
10.1134/S0037446621020130
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Isospectral are the groups with coinciding sets of element orders. We prove that no finite group isospectral to a finite simple classical group has the exceptional groups of types E-7 and E-8 among its nonabelian composition factors.
引用
收藏
页码：341 / 356
页数：16
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