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Algebra Logika, 2014, Volume 53, Number 6, Pages 693–703 (Mi al660)  

This article is cited in 1 scientific paper (total in 1 paper)

Recognizability of symmetric groups by spectrum

I. B. Gorshkov

Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

Abstract: The spectrum of a finite group is the set of its element orders. A finite group $G$ is said to be recognizable by spectrum if every finite group whose spectrum coincides with the spectrum of $G$ is isomorphic to $G$. It is proved the symmetric group $S_n$ is recognizable by spectrum for $n\not\in\{2,3,4,5,6,8,10,15,16,18,21,27,33,35,39,45\}$.

Keywords: finite group, simple group, symmetric group, spectrum of group, recognition by spectrum.

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English version:
Algebra and Logic, 2015, 53:6, 450–457

Bibliographic databases:

UDC: 512.542
Received: 23.04.2014

Citation: I. B. Gorshkov, “Recognizability of symmetric groups by spectrum”, Algebra Logika, 53:6 (2014), 693–703; Algebra and Logic, 53:6 (2015), 450–457

Citation in format AMSBIB
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\by I.~B.~Gorshkov
\paper Recognizability of symmetric groups by spectrum
\jour Algebra Logika
\yr 2014
\vol 53
\issue 6
\pages 693--703
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\vol 53
\issue 6
\pages 450--457
\crossref{https://doi.org/10.1007/s10469-015-9306-0}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. B. Gorshkov, A. N. Grishkov, “On recognition by spectrum of symmetric groups”, Sib. elektron. matem. izv., 13 (2016), 111–121  mathnet  crossref
  • Алгебра и логика Algebra and Logic
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