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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 1, Pages 26–31 (Mi smj2063)  

This article is cited in 7 scientific papers (total in 7 papers)

A solvable group isospectral to $\mathrm S_4(3)$

A. V. Zavarnitsine

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (282 kB) Citations (7)
References:
Abstract: We construct a solvable group $G$ of order 5 648 590 729 620 such that the set of element orders of $G$ coincides with that of the simple group $\mathrm S_4(3)$. This completes the determination of finite simple groups isospectral to solvable groups.
Keywords: finite simple groups, element orders, recognition.
Received: 28.04.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 1, Pages 20–24
DOI: https://doi.org/10.1007/s11202-010-0003-x
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: A. V. Zavarnitsine, “A solvable group isospectral to $\mathrm S_4(3)$”, Sibirsk. Mat. Zh., 51:1 (2010), 26–31; Siberian Math. J., 51:1 (2010), 20–24
Citation in format AMSBIB
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\paper A solvable group isospectral to~$\mathrm S_4(3)$
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\vol 51
\issue 1
\pages 26--31
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\issue 1
\pages 20--24
\crossref{https://doi.org/10.1007/s11202-010-0003-x}
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  • https://www.mathnet.ru/eng/smj/v51/i1/p26
  • This publication is cited in the following 7 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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    Abstract page:450
    Full-text PDF :137
    References:88
    First page:8
     
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