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Sib. Èlektron. Mat. Izv., 2010, Volume 7, Pages 111–114 (Mi semr232)  

This article is cited in 3 scientific papers (total in 3 papers)

Research papers

Isospectral finite simple groups

A. A. Buturlakinab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: The spectrum of a finite group is the set of its element orders. Two groups are called isospectral if their spectra coincide. It is known that $PSp_6(2)$ is isospectral to $P\Omega^+_8(2)$ and $\Omega_7(3)$ is isospectral to $P\Omega^+_8(3)$. In the present paper we prove that there are no other pairs of non-isomorphic isospectral finite simple groups. In particular, we prove that there are no three finite simple groups with the same spectrum.

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Bibliographic databases:
UDC: 512.542
MSC: 20D60
Received December 24, 2009, published May 28, 2010
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Citation: A. A. Buturlakin, “Isospectral finite simple groups”, Sib. Èlektron. Mat. Izv., 7 (2010), 111–114

Citation in format AMSBIB
\Bibitem{But10}
\by A.~A.~Buturlakin
\paper Isospectral finite simple groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages 111--114
\mathnet{http://mi.mathnet.ru/semr232}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2674264}


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    This publication is cited in the following articles:
    1. V. D. Mazurov, W. J. Shi, “A criterion of unrecognizability by spectrum for finite groups”, Algebra and Logic, 51:2 (2012), 160–162  mathnet  crossref  mathscinet  zmath  isi
    2. A. A. Buturlakin, A. V. Vasil'ev, “On constructive recognition of finite simple groups by element orders”, Algebra and Logic, 53:4 (2014), 349–351  mathnet  crossref  mathscinet  isi
    3. N. V. Maslova, “Finite simple groups that are not spectrum critical”, Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 211–215  mathnet  crossref  mathscinet  isi  elib
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