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.
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页码：317 / 321
页数：5
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