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Algebra i logika, 2005, Volume 44, Number 1, Pages 54–69 (Mi al75)  
This article is cited in 11 scientific papers (total in 11 papers)

A characterization of alternating groups

V. D. Mazurov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (211 kB) Citations (11)
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Abstract: It is proved that a group $G$ generated by a conjugacy class $X$ of elements of order 3, so that every two non-commuting elements of $X$ generate a subgroup isomorphic to an alternating group of degree 4 or 5, is locally finite. More precisely, either $G$ contains a normal elementary 2-subgroup of index 3, or $G$ is isomorphic to an alternating group of permutations on some (possibly infinite) set.
Keywords: alternating group, locally finite group.
Received: 18.02.2004
English version:
Algebra and Logic, 2005, Volume 44, Issue 1, Pages 31–39
DOI: https://doi.org/10.1007/s10469-005-0004-1
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: V. D. Mazurov, “A characterization of alternating groups”, Algebra Logika, 44:1 (2005), 54–69; Algebra and Logic, 44:1 (2005), 31–39
Citation in format AMSBIB
\Bibitem{Maz05}
\by V.~D.~Mazurov
\paper A~characterization of alternating groups
\jour Algebra Logika
\yr 2005
\vol 44
\issue 1
\pages 54--69
\mathnet{http://mi.mathnet.ru/al75}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2165873}
\zmath{https://zbmath.org/?q=an:1096.20004}
\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 1
\pages 31--39
\crossref{https://doi.org/10.1007/s10469-005-0004-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-17444388567}
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    Cycle of papers
    This publication is cited in the following 11 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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    Abstract page:676
    Full-text PDF :218
    References:105
    First page:1
     
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