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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 2, Pages 315–324 (Mi smj966)  

This article is cited in 15 scientific papers (total in 15 papers)

On recognition of all finite nonabelian simple groups with orders having prime divisors at most 13

A. V. Vasil'ev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: The spectrum of a group is the set of its element orders. We say that the problem of recognition by spectrum is solved for a finite group if we know the number of pairwise nonisomorphic finite groups with the same spectrum as the group under study. In this article the problem of recognition by spectrum is completely solved for every finite nonabelian simple group with orders having prime divisors at most 13.
Keywords: recognition by spectrum, finite simple group, group of Lie type.
Received: 14.10.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 2, Pages 246–253
DOI: https://doi.org/10.1007/s11202-005-0024-z
Bibliographic databases:
UDC: 519.542
Language: Russian
Citation: A. V. Vasil'ev, “On recognition of all finite nonabelian simple groups with orders having prime divisors at most 13”, Sibirsk. Mat. Zh., 46:2 (2005), 315–324; Siberian Math. J., 46:2 (2005), 246–253
Citation in format AMSBIB
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\paper On recognition of all finite nonabelian simple groups with orders having prime divisors at most~13
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\issue 2
\pages 315--324
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\elib{https://elibrary.ru/item.asp?id=14640699}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 2
\pages 246--253
\crossref{https://doi.org/10.1007/s11202-005-0024-z}
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  • https://www.mathnet.ru/eng/smj/v46/i2/p315
  • This publication is cited in the following 15 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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