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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1002–1006 (Mi smj1345)  
This article is cited in 3 scientific papers (total in 3 papers)

Recognition by the set of element orders of symmetric groups of degree $r$ and $r+1$ for prime $r$

A. V. Zavarnitsin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (164 kB) Citations (3)
Abstract: We prove that the symmetric group $S_r$ of prime degree $r\geq 17$ is recognizable by its element order set. A test for recognizability is obtained for the symmetric group $S_{r+1}$ with $r\geq 17$ prime.
Keywords: finite group, element order, recognition.
Received: 10.07.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 5, Pages 808–811
DOI: https://doi.org/10.1023/A:1020142420831
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Zavarnitsin, “Recognition by the set of element orders of symmetric groups of degree $r$ and $r+1$ for prime $r$”, Sibirsk. Mat. Zh., 43:5 (2002), 1002–1006; Siberian Math. J., 43:5 (2002), 808–811
Citation in format AMSBIB
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\by A.~V.~Zavarnitsin
\paper Recognition by the set of element orders of symmetric groups of degree~$r$ and $r+1$ for prime~$r$
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 5
\pages 1002--1006
\mathnet{http://mi.mathnet.ru/smj1345}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946259}
\zmath{https://zbmath.org/?q=an:1018.20004}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 5
\pages 808--811
\crossref{https://doi.org/10.1023/A:1020142420831}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178696400003}
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    • This publication is cited in the following 3 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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