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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1011–1016
DOI: https://doi.org/10.17377/semi.2017.14.085 (Mi semr842) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

On groups isospectral to the automorphism group of the second sporadic group of Janko

A. Kh. Zhurtov, M. Kh. Shermetova

Kabardino-Balkarian State University, str. Chernyshevsky, 173, 360004, Nalchik, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.085
Abstract: We prove that every finite group having the same set of element orders as $Aut(J_2)$ is isomorphic either to $Aut(J_2)$ or to an extension of a non-trivial $2$-group by $A_8$, or to some soluble group.
Keywords: isospectral groups, Frobenius group, sporadic groups of Janko, finite groups.
Received June 15, 2017, published October 6, 2017
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 20D05
Language: Russian
Citation: A. Kh. Zhurtov, M. Kh. Shermetova, “On groups isospectral to the automorphism group of the second sporadic group of Janko”, Sib. Èlektron. Mat. Izv., 14 (2017), 1011–1016
Citation in format AMSBIB
\Bibitem{ZhuShe17}
\by A.~Kh.~Zhurtov, M.~Kh.~Shermetova
\paper On groups isospectral to the automorphism group of the second sporadic group of Janko
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1011--1016
\mathnet{http://mi.mathnet.ru/semr842}
\crossref{https://doi.org/10.17377/semi.2017.14.085}
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