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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 6, Pages 115–123 (Mi fpm1616)  

This article is cited in 8 scientific papers (total in 8 papers)

On intersection of primary subgroups of odd order in finite almost simple groups

V. I. Zenkovab, Ya. N. Nuzhinc

a Ural Federal University, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
c Siberian Federal University, Krasnoyarsk
Full-text PDF (150 kB) Citations (8)
References:
Abstract: We consider the question of the determination of subgroups $A$ and $B$ such that $A\cap B^g\ne1$ for any $g\in G$ for a finite almost simple group $G$ and its primary subgroups $A$ and $B$ of odd order. We prove that there exist only four possibilities for the ordered pair $(A,B)$.
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 221, Issue 3, Pages 384–390
DOI: https://doi.org/10.1007/s10958-017-3232-8
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. I. Zenkov, Ya. N. Nuzhin, “On intersection of primary subgroups of odd order in finite almost simple groups”, Fundam. Prikl. Mat., 19:6 (2014), 115–123; J. Math. Sci., 221:3 (2017), 384–390
Citation in format AMSBIB
\Bibitem{ZenNuz14}
\by V.~I.~Zenkov, Ya.~N.~Nuzhin
\paper On intersection of primary subgroups of odd order in finite almost simple groups
\jour Fundam. Prikl. Mat.
\yr 2014
\vol 19
\issue 6
\pages 115--123
\mathnet{http://mi.mathnet.ru/fpm1616}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431903}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 221
\issue 3
\pages 384--390
\crossref{https://doi.org/10.1007/s10958-017-3232-8}
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  • https://www.mathnet.ru/eng/fpm1616
  • https://www.mathnet.ru/eng/fpm/v19/i6/p115
  • 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
    Фундаментальная и прикладная математика
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