CHARACTERIZATION OF THE FINITE SIMPLE GROUPS BY SPECTRUM AND ORDER

被引：80

作者：

Vasil'ev, A. V. ^{[1
,2
]}

Grechkoseeva, M. A. ^{[1
,2
]}

Mazurov, V. D. ^{[1
,2
]}

机构：

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

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

ALGEBRA AND LOGIC | 2009年 / 48卷 / 06期

关键词：

finite group; simple group; element orders; recognizability by spectrum and order; symplectic group; orthogonal group; PURE QUANTITATIVE CHARACTERIZATION;

D O I：

10.1007/s10469-009-9074-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：385 / 409

页数：25

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