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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 4, Pages 749–758 (Mi smj1001)  
This article is cited in 35 scientific papers (total in 35 papers)

On recognition by spectrum of finite simple linear groups over fields 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
Full-text PDF (242 kB) Citations (35)
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Abstract: A finite group $G$ is said to be recognizable by spectrum, i.e., by the set of element orders, if every finite group $H$ having the same spectrum as $G$ is isomorphic to $G$. We prove that the simple linear groups $L_n(2^k)$ are recognizable by spectrum for $n=2^m\geqslant 32$.
Keywords: finite group, finite simple group, linear group, spectrum of a group, recognition by spectrum, prime graph.
Received: 20.03.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 4, Pages 593–600
DOI: https://doi.org/10.1007/s11202-005-0060-8
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, M. A. Grechkoseeva, “On recognition by spectrum of finite simple linear groups over fields of characteristic 2”, Sibirsk. Mat. Zh., 46:4 (2005), 749–758; Siberian Math. J., 46:4 (2005), 593–600
Citation in format AMSBIB
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\by A.~V.~Vasil'ev, M.~A.~Grechkoseeva
\paper On recognition by spectrum of finite simple linear groups over fields of characteristic~2
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 4
\pages 749--758
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2169394}
\zmath{https://zbmath.org/?q=an:1117.20019}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 4
\pages 593--600
\crossref{https://doi.org/10.1007/s11202-005-0060-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000231331700003}
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    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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