Periodic Groups Saturated with Finite Simple Groups of Types U 3 and L 3

被引：6

作者：

Lytkina, D. V. ^{[1
,2
,3
]}

Shlepkin, A. A. ^{[4
]}

机构：

[1] Siberian State Univ Telecommun & Informat Sci, Ul Kirova 86, Novosibirsk 630102, Russia

[2] Novosibirsk State Univ, Ul Pirogova 2, Novosibirsk 630090, Russia

[3] Novosibirsk State Univ, Ul Pirogova 2, Novosibirsk 630090, Russia

[4] Siberian Fed Univ, Pr Svobodnyi 79, Krasnoyarsk 660041, Russia

来源：

ALGEBRA AND LOGIC | 2016年 / 55卷 / 04期

关键词：

group saturated with set of groups; periodic group;

D O I：

10.1007/s10469-016-9398-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that is a set whose elements are simple three-dimensional unitary groups U (3)(q) and linear groups L (3)(q) over finite fields. We prove that a periodic group saturated with groups of is locally finite and isomorphic to U (3)(Q) or L (3)(Q) for some locally finite field Q.

引用

页码：289 / 294

页数：6

共 7 条

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Lytkina, D. V.
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