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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 4, Pages 898–913 (Mi smj904)  

This article is cited in 2 scientific papers (total in 2 papers)

On the existence of $f$-local subgroups in a group

A. I. Sozutov, M. V. Yanchenko

Krasnoyarsk State Academy of Architecture and Construction
Full-text PDF (260 kB) Citations (2)
References:
Abstract: We prove the existence of infinite subgroups with nontrivial locally finite radicals and of locally finite subgroups in the groups with almost finite almost solvable elements of prime orders and in the groups with generally finite elements.
Keywords: group, $f$-local subgroup, almost finite element, generally finite element, generally finite group.
Received: 01.12.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 4, Pages 740–750
DOI: https://doi.org/10.1007/s11202-006-0085-7
Bibliographic databases:
UDC: 512.544
Language: Russian
Citation: A. I. Sozutov, M. V. Yanchenko, “On the existence of $f$-local subgroups in a group”, Sibirsk. Mat. Zh., 47:4 (2006), 898–913; Siberian Math. J., 47:4 (2006), 740–750
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v47/i4/p898
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:221
    Full-text PDF :70
    References:47
     
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