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Algebra i logika, 2000, Volume 39, Number 6, Pages 648–661 (Mi al246)  
This article is cited in 38 scientific papers (total in 38 papers)

Recognition of alternating groups of degrees $r+1$ and $r+2$ for prime $r$ and the group of degree 16 by their element order sets

A. V. Zavarnitsin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1461 kB) Citations (38)
Abstract: It is proved that a finite group whose element order set is the same as that of an alternating group $A_n$ of degree $n=r+1$ or $r+2$ for prime $r>5$ or $n=16$ is isomorphic to $A_n$.
Received: 07.04.1999
Revised: 28.09.1999
English version:
Algebra and Logic, 2000, Volume 39, Issue 6, Pages 370–377
DOI: https://doi.org/10.1023/A:1010218618414
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Zavarnitsin, “Recognition of alternating groups of degrees $r+1$ and $r+2$ for prime $r$ and the group of degree 16 by their element order sets”, Algebra Logika, 39:6 (2000), 648–661; Algebra and Logic, 39:6 (2000), 370–377
Citation in format AMSBIB
\Bibitem{Zav00}
\by A.~V.~Zavarnitsin
\paper Recognition of alternating groups of degrees~$r+1$ and $r+2$ for prime~$r$ and the group
of degree~16 by their element order sets
\jour Algebra Logika
\yr 2000
\vol 39
\issue 6
\pages 648--661
\mathnet{http://mi.mathnet.ru/al246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1819765}
\zmath{https://zbmath.org/?q=an:0979.20020}
\transl
\jour Algebra and Logic
\yr 2000
\vol 39
\issue 6
\pages 370--377
\crossref{https://doi.org/10.1023/A:1010218618414}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0141845211}
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    • This publication is cited in the following 38 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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