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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 510–526 (Mi smj1086)  

This article is cited in 31 scientific papers (total in 31 papers)

On recognition of the finite simple orthogonal groups of dimension $2^m$, $2^m+1$ and $2^m+2$ over a field of characteristic 2

A. V. Vasil'eva, M. A. Grechkoseevab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Mechanics and Mathematics Department
References:
Abstract: The spectrum $\omega(G)$ of a finite group $G$ is the set of element orders of $G$. A finite group $G$ is said to be recognizable by spectrum (briefly, recognizable) if $H\simeq G$ for every finite group $H$ such that $\omega(H)=\omega(G)$. We give two series, infinite by dimension, of finite simple classical groups recognizable by spectrum.
Keywords: recognition by spectrum, finite orthogonal group.
Received: 29.12.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 3, Pages 420–432
DOI: https://doi.org/10.1023/B:SIMJ.0000028607.23176.5f
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, M. A. Grechkoseeva, “On recognition of the finite simple orthogonal groups of dimension $2^m$, $2^m+1$ and $2^m+2$ over a field of characteristic 2”, Sibirsk. Mat. Zh., 45:3 (2004), 510–526; Siberian Math. J., 45:3 (2004), 420–432
Citation in format AMSBIB
\Bibitem{VasGre04}
\by A.~V.~Vasil'ev, M.~A.~Grechkoseeva
\paper On recognition of the finite simple orthogonal groups of dimension $2^m$, $2^m+1$ and $2^m+2$ over a field of characteristic~2
\jour Sibirsk. Mat. Zh.
\yr 2004
\vol 45
\issue 3
\pages 510--526
\mathnet{http://mi.mathnet.ru/smj1086}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2078712}
\zmath{https://zbmath.org/?q=an:1058.20017}
\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 3
\pages 420--432
\crossref{https://doi.org/10.1023/B:SIMJ.0000028607.23176.5f}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000222146600004}
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  • https://www.mathnet.ru/eng/smj/v45/i3/p510
  • This publication is cited in the following 31 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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