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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 246–257 (Mi semr485)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical logic, algebra and number theory

On realizability of a graph as the prime graph of a finite group

A. L. Gavrilyukabc, I. V. Khramtsova, A. S. Kondrat'evab, N. V. Maslovaba

a N. N. Krasovskii Institute of Mathematics and Mechanics, 16, S. Kovalevskaja St., 620990, Ekaterinburg, Russia
b Ural Federal University named after the first President of Russia B. N. Yeltsin, 19, Mira St., 620002, Ekaterinburg, Russia
c Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, 980-8579, Sendai, Japan
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Abstract: The problem of the realizability of a graph as the prime graph (the Gruenberg–Kegel graph) of a finite group is considered. This problem is completely solved for graphs with at most five vertices.
Keywords: finite group, prime graph (Gruenberg–Kegel graph), realizability of a graph.
Received November 14, 2013, published March 26, 2014
Document Type: Article
UDC: 512.54
MSC: 20D60,05C25,20C20
Language: English
Citation: A. L. Gavrilyuk, I. V. Khramtsov, A. S. Kondrat'ev, N. V. Maslova, “On realizability of a graph as the prime graph of a finite group”, Sib. Èlektron. Mat. Izv., 11 (2014), 246–257
Citation in format AMSBIB
\Bibitem{GavKhrKon14}
\by A.~L.~Gavrilyuk, I.~V.~Khramtsov, A.~S.~Kondrat'ev, N.~V.~Maslova
\paper On realizability of a graph as the prime graph of a finite group
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 246--257
\mathnet{http://mi.mathnet.ru/semr485}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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