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Algebra i logika, 2003, Volume 42, Number 3, Pages 338–365 (Mi al34)  
This article is cited in 8 scientific papers (total in 8 papers)

Superlocals in Symmetric and Alternating Groups

D. O. Revin

The Specialized Educational Scientific Center of Novosibirsk State University
Full-text PDF (289 kB) Citations (8)
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Abstract: On Aschbacher's definition, a subgroup $N$ of a finite group $G$ is called a $p$-superlocal for a prime $p$ if $N=N_G(O_p(N))$. We describe the $p$-superlocals in symmetric and alternating groups, thereby resolving part way Problem 11.3 in the Kourovka Notebook [3].
Keywords: symmetric group, alternating group, $p$-superlocal.
Received: 30.08.2001
English version:
Algebra and Logic, 2003, Volume 42, Issue 3, Pages 192–206
DOI: https://doi.org/10.1023/A:1023940726874
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: D. O. Revin, “Superlocals in Symmetric and Alternating Groups”, Algebra Logika, 42:3 (2003), 338–365; Algebra and Logic, 42:3 (2003), 192–206
Citation in format AMSBIB
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\by D.~O.~Revin
\paper Superlocals in Symmetric and Alternating Groups
\jour Algebra Logika
\yr 2003
\vol 42
\issue 3
\pages 338--365
\mathnet{http://mi.mathnet.ru/al34}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2000847}
\zmath{https://zbmath.org/?q=an:1035.20002}
\transl
\jour Algebra and Logic
\yr 2003
\vol 42
\issue 3
\pages 192--206
\crossref{https://doi.org/10.1023/A:1023940726874}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42449126704}
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    • This publication is cited in the following 8 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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    Abstract page:318
    Full-text PDF :86
    References:57
    First page:1
     
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