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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 132–141 (Mi timm1206)  
This article is cited in 3 scientific papers (total in 3 papers)

Finite almost simple groups with prime graphs all of whose connected components are cliques

M. R. Zinov'evaab, A. S. Kondrat'evba

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (194 kB) Citations (3)
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Abstract: We find finite almost simple groups with prime graphs all of whose connected components are cliques, i.e., complete graphs. The proof is based on the following fact, which was obtained by the authors and is of independent interest: the prime graph of a finite simple nonabelian group contains two nonadjacent odd vertices that do not divide the order of the outer automorphism group of this group.
Keywords: finite group, almost simple group, prime graph.
Received: 20.06.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 295, Issue 1, Pages 178–188
DOI: https://doi.org/10.1134/S0081543816090194
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: M. R. Zinov'eva, A. S. Kondrat'ev, “Finite almost simple groups with prime graphs all of whose connected components are cliques”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 132–141; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 178–188
Citation in format AMSBIB
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\by M.~R.~Zinov'eva, A.~S.~Kondrat'ev
\paper Finite almost simple groups with prime graphs all of whose connected components are cliques
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 3
\pages 132--141
\mathnet{http://mi.mathnet.ru/timm1206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468097}
\elib{https://elibrary.ru/item.asp?id=24156707}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 295
\issue , suppl. 1
\pages 178--188
\crossref{https://doi.org/10.1134/S0081543816090194}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000394441400019}
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  • https://www.mathnet.ru/eng/timm1206
  • https://www.mathnet.ru/eng/timm/v21/i3/p132
    • This publication is cited in the following 3 articles:
    1. N. V. Maslova, K. A. Il'enko, “On the Coincidence of Gruenberg–Kegel Graphs of an Almost Simple Group and a Nonsolvable Frobenius Group”, Proc. Steklov Inst. Math. (Suppl.), 317, suppl. 1 (2022), S130–S135  mathnet  crossref  crossref  isi  elib
    2. Kondrat'ev A.S. Minigulov N.A., “On Finite Non-Solvable Groups Whose Gruenberg-Kegel Graphs Are Isomorphic to the Paw”, Commun. Math. Stat., 2021  crossref  isi  scopus
    3. A. S. Kondrat'ev, “Finite groups with given properties of their prime graphs”, Algebra and Logic, 55:1 (2016), 77–82  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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