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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 119–121 (Mi semr234)  
This article is cited in 7 scientific papers (total in 7 papers)

Research papers

Uniqueness of the prime graph of $\mathrm{L}_{16}(2)$

Andrei V. Zavarnitsinab

a Mechanics and Mathematics Dept., Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (701 kB) Citations (7)
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Abstract: We complete the proof that the simple group $\mathrm{L}_{16}(2)$ is uniquely determined by its prime graph among all finite groups thus giving the first example of a recognizable-by-graph group whose prime graph is connected. We bridge the gap in the argument from [1] which purported to establish the same result.
Keywords: finite simple groups, prime graph, recognition.
Received March 2, 2010, published May 31, 2010
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20D06, 20D60
Language: English
Citation: Andrei V. Zavarnitsin, “Uniqueness of the prime graph of $\mathrm{L}_{16}(2)$”, Sib. Èlektron. Mat. Izv., 7 (2010), 119–121
Citation in format AMSBIB
\Bibitem{Zav10}
\by Andrei V.~Zavarnitsin
\paper Uniqueness of the prime graph of $\mathrm{L}_{16}(2)$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages 119--121
\mathnet{http://mi.mathnet.ru/semr234}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2674266}
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