Subgroups of locally finite products of locally nilpotent groups

被引：1
|
作者：
Höfling, B [1 ]
机构：
[1] Univ Jena, Math Inst, D-07740 Jena, Germany
来源：
GLASGOW MATHEMATICAL JOURNAL | 1999年 / 41卷
关键词：
D O I：
10.1017/S0017089599000294
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let the locally finite group G be the product of two locally nilpotent subgroups A and B, and assume that H is a subgroup of G belonging to a group class F. The question is considered whether there exists a subgroup X of G containing H which belongs to F and satisfies X = (X boolean AND A)(X boolean AND B). Under various assumptions on G and F, necessary and sufficient conditions for the existence of such a subgroup X are obtained.
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收藏
页码：323 / 343
页数：21
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