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Algebra i logika, 2012, Volume 51, Number 6, Pages 772–782 (Mi al564)  
This article is cited in 1 scientific paper (total in 1 paper)

A nonsimplicity criterion for groups

A. I. Sozutovab

a Reshetnev Siberian State Aerospace University, Krasnoyarsk, Russia
b Siberian Federal University, Krasnoyarsk, Russia
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Abstract: Nonsimplicity criteria for groups with systems of Frobenius subgroups are crucial in research on infinite groups with finite elements. Here we prove a criterion for nonsimplicity of a group with a system of $F$-subgroups whose properties are close to those of Frobenius groups.
Keywords: group that is not simple, Frobenius group.
Received: 22.05.2012
English version:
Algebra and Logic, 2013, Volume 51, Issue 6, Pages 511–518
DOI: https://doi.org/10.1007/s10469-013-9211-3
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: A. I. Sozutov, “A nonsimplicity criterion for groups”, Algebra Logika, 51:6 (2012), 772–782; Algebra and Logic, 51:6 (2013), 511–518
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:40
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