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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 2, Pages 203–210
(Mi timm236)
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This article is cited in 5 scientific papers (total in 5 papers)
On Shunkov Groups with a strongly embedded subgroup
V. I. Senashov Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences
Abstract:
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 of the periodic
part of a Shunkov group with a strongly embedded subgroup possessing a Chernikov almost layer-finite periodic
part is established. Earlier, the author proved the almost layer-finiteness of a Shunkov group with a strongly
embedded group under the conditions that all proper subgroups are almost layer-finite and that the group is
periodic.
Keywords:
infinite groups, finiteness conditions, layer-finiteness, periodicity.
Received: 27.10.2008
Citation:
V. I. Senashov, “On Shunkov Groups with a strongly embedded subgroup”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 2, 2009, 203–210; Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S210–S217
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https://www.mathnet.ru/eng/timm236 https://www.mathnet.ru/eng/timm/v15/i2/p203
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Abstract page: | 314 | Full-text PDF : | 92 | References: | 59 | First page: | 1 |
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