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

页码：341 / 356

页数：16

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