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Algebra i logika, 2018, Volume 57, Number 2, Pages 175–196
DOI: https://doi.org/10.17377/alglog.2018.57.203 (Mi al842) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Finite almost simple groups whose Gruenberg–Kegel graphs coincide with Gruenberg–Kegel graphs of solvable groups

I. B. Gorshkova, N. V. Maslovaab

a Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990 Russia
b El'tsyn Ural Federal University, ul. Mira 19, Yekaterinburg, 620002 Russia
Full-text PDF (244 kB) Citations (6)
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DOI: https://doi.org/10.17377/alglog.2018.57.203
Abstract: It is shown that the Gruenberg–Kegel graph of a finite almost simple group is equal to the Gruenberg–Kegel graph of some finite solvable group iff it does not contain $3$-cocliques. Furthermore, we obtain a description of finite almost simple groups whose Gruenberg–Kegel graphs contain no $3$-cocliques.
Keywords: finite group, solvable group, almost simple group, Gruenberg–Kegel graph (prime graph).
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-6118.2016.1
02.A03.21.0006
Russian Academy of Sciences - Federal Agency for Scientific Organizations 18-1-1-17
Fundação de Amparo à Pesquisa do Estado de São Paulo FAPESP-2014/08964-1
Dynasty Foundation
Supported by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (grant MK-6118.2016.1), by the Complex Research Program of UrO RAN (project No. 18-1-1-17), and by the Program for State Aid of Leading RF Universities (Agreement No. 02.A03.21.0006 between the Ministry of Education and Science of the Russian Federation and the Ural Federal University, 27.08.2013).
Supported by FAPESP, project No. 2014/08964-1.
Supported by Dmitry Zimin's Dynasty Foundation.
Received: 11.03.2016
Revised: 30.05.2016
English version:
Algebra and Logic, 2018, Volume 57, Issue 2, Pages 115–129
DOI: https://doi.org/10.1007/s10469-018-9484-7
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: I. B. Gorshkov, N. V. Maslova, “Finite almost simple groups whose Gruenberg–Kegel graphs coincide with Gruenberg–Kegel graphs of solvable groups”, Algebra Logika, 57:2 (2018), 175–196; Algebra and Logic, 57:2 (2018), 115–129
Citation in format AMSBIB
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\by I.~B.~Gorshkov, N.~V.~Maslova
\paper Finite almost simple groups whose Gruenberg--Kegel graphs coincide with Gruenberg--Kegel graphs of solvable groups
\jour Algebra Logika
\yr 2018
\vol 57
\issue 2
\pages 175--196
\mathnet{http://mi.mathnet.ru/al842}
\crossref{https://doi.org/10.17377/alglog.2018.57.203}
\transl
\jour Algebra and Logic
\yr 2018
\vol 57
\issue 2
\pages 115--129
\crossref{https://doi.org/10.1007/s10469-018-9484-7}
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    • This publication is cited in the following 6 articles:
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    		Алгебра и логика Algebra and Logic
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