The periodic groups saturated by finitely many finite simple groups

被引：16

作者：

Lytkina, D. V. ^{[1
]}

Tukhvatullina, L. R. ^{[2
]}

Filippov, K. A. ^{[2
]}

机构：

[1] Novosibirsk State Univ, Novosibirsk 630090, Russia

[2] Krasnoyarsk Agr State Univ, Krasnoyarsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2008年 / 49卷 / 02期

关键词：

saturation of a group by a set of groups; periodic group;

D O I：

10.1007/s11202-008-0031-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Denote by M the set whose elements are the simple 3-dimensional unitary groups U-3(q) and the linear groups L-3(q) over finite fields. We prove that every periodic group, saturated by the groups of a finite subset of M, is finite.

引用

页码：317 / 321

页数：5

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