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Algebra i logika, 2001, Volume 40, Number 3, Pages 344–351 (Mi al225)  
This article is cited in 9 scientific papers (total in 9 papers)

Finiteness of Some Sharply Doubly Transitive Groups

N. M. Suchkov

Krasnoyarsk State University
Full-text PDF (648 kB) Citations (9)
Abstract: Let $G$ be a doubly transitive permutation group such that its point stabilizer is a 2-group and its two-point stabilizer is trivial. It is proved that $G$ is finite and isomorphic to a Frobenius group of order $3^2\cdot 2^3$ or $p\cdot 2^n$, where $p=2^n+1$ is a Fermat prime.
Keywords: doubly transitive permutation group, stabilizer, Frobenius group.
Received: 22.02.2000
Revised: 25.01.2000
English version:
Algebra and Logic, 2001, Volume 40, Issue 3, Pages 190–193
DOI: https://doi.org/10.1023/A:1010216519782
Bibliographic databases:
UDC: 512.544
Language: Russian
Citation: N. M. Suchkov, “Finiteness of Some Sharply Doubly Transitive Groups”, Algebra Logika, 40:3 (2001), 344–351; Algebra and Logic, 40:3 (2001), 190–193
Citation in format AMSBIB
\Bibitem{Suc01}
\by N.~M.~Suchkov
\paper Finiteness of Some Sharply Doubly Transitive Groups
\jour Algebra Logika
\yr 2001
\vol 40
\issue 3
\pages 344--351
\mathnet{http://mi.mathnet.ru/al225}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1857888}
\zmath{https://zbmath.org/?q=an:1003.20001}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 3
\pages 190--193
\crossref{https://doi.org/10.1023/A:1010216519782}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33645023303}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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