Recognition by spectrum for finite linear groups over fields of characteristic 2

被引：12

作者：

Grechkoseeva, M. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Novosibirsk 630090, Russia

来源：

ALGEBRA AND LOGIC | 2008年 / 47卷 / 04期

关键词：

finite simple group; linear group; order of element; spectrum of group; recognition by spectrum;

D O I：

10.1007/s10469-008-9014-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The spectrum of a finite group is the set of its element orders. For every finite simple linear group L = L-n(2(k)), where 11 <= n <= 18 or n > 24, we describe finite groups having the same spectrum as L, prove that the number of pairwise nonisomorphic groups with this property is finite, and derive an explicit formula for calculating this number.

引用

页码：229 / 241

页数：13

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