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.
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页码：210 / 217
页数：7
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