ON FINITE GROUPS ISOSPECTRAL TO THE SIMPLE GROUP S4(3)

被引：1

作者：

Lytkin, Yuri, V ^{[1
]}

机构：

[1] Sobolev Inst Math, 4 Koptyuga Ave, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷

基金：

俄罗斯科学基金会;

关键词：

finite group; spectrum; critical group; nonabelian simple group; RECOGNIZABILITY; SPECTRUM; RESPECT; SET;

D O I：

10.33048/semi.2019.16.107

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. A finite group G is called critical with respect to a subset omega of natural numbers if omega coincides with the spectrum of G and does not coincide with the spectra of proper sections of G. We study the structure of finite groups with the same spectrum as the simple symplectic group PSp(4, 3). In particular, we describe groups critical with respect to the spectrum of PSp(4, 3)

引用

页码：1561 / 1566

页数：6

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