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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 2, Pages 241–255 (Mi smj1171)  
This article is cited in 27 scientific papers (total in 27 papers)

Quasirecognition of one class of finite simple groups by the set of element orders

O. A. Alekseevaa, A. S. Kondrat'evb

a South Ural State University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (230 kB) Citations (27)
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Abstract: We prove that a finite group, having the same set of element orders as a finite simple group $L$ and the prime graph with at least three connected components, possesses a (unique) nonabelian composition factor which is isomorphic to $L$, unless $L$ is isomorphic to the alternating group of degree 6.
Keywords: finite group, the set of element orders, quasirecognition, prime graph.
Received: 14.11.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 2, Pages 195–207
DOI: https://doi.org/10.1023/A:1022931316876
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: O. A. Alekseeva, A. S. Kondrat'ev, “Quasirecognition of one class of finite simple groups by the set of element orders”, Sibirsk. Mat. Zh., 44:2 (2003), 241–255; Siberian Math. J., 44:2 (2003), 195–207
Citation in format AMSBIB
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\paper Quasirecognition of one class of finite simple groups by the set of element orders
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\vol 44
\issue 2
\pages 241--255
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\zmath{https://zbmath.org/?q=an:1035.20012}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 2
\pages 195--207
\crossref{https://doi.org/10.1023/A:1022931316876}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000182502000001}
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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