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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 2, Pages 203–210 (Mi timm236)  

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
Full-text PDF (151 kB) Citations (5)
References:
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
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 267, Issue 1, Pages S210–S217
DOI: https://doi.org/10.1134/S0081543809070190
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
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
Citation in format AMSBIB
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\paper On Shunkov Groups with a~strongly embedded subgroup
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 2
\pages 203--210
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 267
\issue , suppl. 1
\pages S210--S217
\crossref{https://doi.org/10.1134/S0081543809070190}
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  • https://www.mathnet.ru/eng/timm/v15/i2/p203
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Abstract page:314
    Full-text PDF :92
    References:59
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