On recognition by spectrum of finite simple linear groups over fields of characteristic 2

被引：45

作者：

Vasil'ev, AV

Grechkoseeva, MA

机构：

[1] Sobolev Institute of Mathematics, Novosibirsk

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2005年 / 46卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

finite group; finite simple group; linear group; spectrum of a group; recognition by spectrum; prime graph;

D O I：

10.1007/s11202-005-0060-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A finite group G is said to be recognizable by spectrum, i.e., by the set of element orders, if every finite group H having the same spectrum as G is isomorphic to G. We prove that the simple linear groups L-n(2(k)) are recognizable by spectrum for n = 2(m) >= 32.

引用

页码：593 / 600

页数：8

共 13 条

[1] On recognizability of the group E8(q) by the set of orders of elements [J].