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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 253–263 (Mi semr31)  

This article is cited in 8 scientific papers (total in 8 papers)

Research papers

On recognition of the projective special linear groups over binary fields

M. A. Grechkoseevaa, M. S. Lucidob, V. D. Mazurovc, A. R. Moghaddamfarde, A. V. Vasil'evc

a Novosibirsk State University
b Universitá degli Studi di Udine, Udine, Italy
c Sobolev Institute of Mathematics, Novosibirsk, Russia
d Department of Mathematics, Faculty of Science, K. N. Toosi University of Technology, Tehran, Iran
e Institute for Studies in Theoretical Physics and Mathematics
Full-text PDF (271 kB) Citations (8)
References:
Abstract: The spectrum $\omega(G)$ of a finite group $G$ is the set of element orders of $G$. Let $L$ be the projective special linear group $L_n(2)$ with $n\ge3$. First, for all $n\ge3$ we establish that every finite group $G$ with $\omega(G)=\omega(L)$ has a unique non-abelian composition factor and this factor is isomorphic to $L$. Second, for some special series of integers $n$ we prove that $L$ is recognizable by spectrum, i. e. every finite group $G$ with $\omega(G)=\omega(L)$ is isomorphic to $L$.
Received October 26, 2005, published December 9, 2005
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 20D60
Language: English
Citation: M. A. Grechkoseeva, M. S. Lucido, V. D. Mazurov, A. R. Moghaddamfar, A. V. Vasil'ev, “On recognition of the projective special linear groups over binary fields”, Sib. Èlektron. Mat. Izv., 2 (2005), 253–263
Citation in format AMSBIB
\Bibitem{GreLucMaz05}
\by M.~A.~Grechkoseeva, M.~S.~Lucido, V.~D.~Mazurov, A.~R.~Moghaddamfar, A.~V.~Vasil'ev
\paper On recognition of the projective special linear groups over binary fields
\jour Sib. \`Elektron. Mat. Izv.
\yr 2005
\vol 2
\pages 253--263
\mathnet{http://mi.mathnet.ru/semr31}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2206189}
\zmath{https://zbmath.org/?q=an:1098.20019}
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  • https://www.mathnet.ru/eng/semr/v2/p253
  • This publication is cited in the following 8 articles:
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