Trifactorized locally finite groups with min-p for every prime p

被引：0

作者：

Amberg, Bernhard ^{[1
]}

Fransman, Andrew ^{[2
]}

Kazarin, Lev ^{[3
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Math, D-55099 Mainz, Germany

[2] Univ Stellenbosch, Dept Math Sci, ZA-7602 Matieland, South Africa

[3] Yaroslavl State Univ, Dept Math, Yaroslavl 150000, Russia

来源：

ARCHIV DER MATHEMATIK | 2009年 / 92卷 / 06期

关键词：

Products of groups; factorizations; locally finite groups; groups with minium condition; Chernikov groups;

D O I：

10.1007/s00013-009-3050-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group G is trifactorized if G = AB = AC = BC with three subgroups A, B and C of G. Some structural theorems about trifactorized locally finite groups with minimum condition on p-subgroups for every prime p are proved. For instance, it is shown that G is locally supersoluble (locally nilpotent) if A and B are locally nilpotent and C is locally supersoluble (locally nilpotent).

引用

页码：558 / 565

页数：8

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