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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 292–299 (Mi smj1958)  
This article is cited in 51 scientific papers (total in 51 papers)

On recognition of finite simple groups with connected prime graph

A. V. Vasil'eva, I. B. Gorshkovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Novosibirsk
Full-text PDF (296 kB) Citations (51)
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Abstract: The spectrum of a finite group is the set of its element orders. We prove a theorem on the structure of a finite group whose spectrum is equal to the spectrum of a finite nonabelian simple group. The theorem can be applied to solving the problem of recognizability of finite simple groups by spectrum.
Keywords: finite group, finite simple group, spectrum of a group, prime graph of a group.
Received: 30.10.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 2, Pages 233–238
DOI: https://doi.org/10.1007/s11202-009-0027-2
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, I. B. Gorshkov, “On recognition of finite simple groups with connected prime graph”, Sibirsk. Mat. Zh., 50:2 (2009), 292–299; Siberian Math. J., 50:2 (2009), 233–238
Citation in format AMSBIB
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    • This publication is cited in the following 51 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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