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Mathematics of the USSR-Sbornik, 1990, Volume 67, Issue 1, Pages 235–247
DOI: https://doi.org/10.1070/SM1990v067n01ABEH001363
(Mi sm1634)
 

This article is cited in 156 scientific papers (total in 156 papers)

Prime graph components of finite simple groups

A. S. Kondrat'ev
References:
Abstract: Let $G$ be a finite group and $\pi(G)$ the set of prime factors of its order. The prime graph of $G$ is the graph with vertex-set $\pi(G)$, two vertices $p$ and $q$ being joined by an edge whenever $G$ contains an element of order $pq$. This article contains an explicit description of the primes in each of the connected components of the prime graphs of the finite simple groups of Lie type of even characteristic. This solves question 9.16 of the “Kourovka Notebook”.
Bibliography: 15 titles.
Received: 10.01.1988
Russian version:
Matematicheskii Sbornik, 1989, Volume 180, Number 6, Pages 787–797
Bibliographic databases:
UDC: 512.542
MSC: Primary 20D06; Secondary 05C25
Language: English
Original paper language: Russian
Citation: A. S. Kondrat'ev, “Prime graph components of finite simple groups”, Mat. Sb., 180:6 (1989), 787–797; Math. USSR-Sb., 67:1 (1990), 235–247
Citation in format AMSBIB
\Bibitem{Kon89}
\by A.~S.~Kondrat'ev
\paper Prime graph components of finite simple groups
\jour Mat. Sb.
\yr 1989
\vol 180
\issue 6
\pages 787--797
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1015040}
\zmath{https://zbmath.org/?q=an:0698.20009|0691.20013}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 67
\issue 1
\pages 235--247
\crossref{https://doi.org/10.1070/SM1990v067n01ABEH001363}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990ED88000014}
Linking options:
  • https://www.mathnet.ru/eng/sm1634
  • https://doi.org/10.1070/SM1990v067n01ABEH001363
  • https://www.mathnet.ru/eng/sm/v180/i6/p787
  • This publication is cited in the following 156 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:2384
    Russian version PDF:449
    English version PDF:23
    References:99
    First page:1
     
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