On Shunkov groups with a strongly embedded subgroup

被引：0

作者：

V. I. Senashov

机构：

[1] Siberian Branch of the Russian Academy of Sciences,Institute of Computational Modeling

来源：

Proceedings of the Steklov Institute of Mathematics | 2009年 / 267卷

关键词：

infinite groups; finiteness conditions; layer-finiteness; periodicity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Infinite Shunkov groups with the following condition are studied: the normalizer of any finite nontrivial subgroup has an almost layer-finite periodic part. Under this condition, the almost layer-finiteness is established of the periodic part of a Shunkov group with a strongly embedded subgroup having a Chernikov almost layer-finite periodic part. Earlier, the author proved the almost layer-finiteness of a Shunkov group with a strongly embedded subgroup under the conditions that all proper subgroups are almost layer-finite and that the group is periodic.

引用

页码：210 / 217

页数：7

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