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Fundam. Prikl. Mat., 2014, Volume 19, Issue 6, Pages 115–123 (Mi fpm1616)  

This article is cited in 6 scientific papers (total in 6 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

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 $(A,B)$.

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English version:
Journal of Mathematical Sciences (New York), 2017, 221:3, 384–390

Bibliographic databases:

UDC: 512.54

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://www.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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Zenkov V.I., “On Intersection of Two Nilpotent Subgroups in Finite Group With Socle Omega(+)(8)(2), E-6(2) Or E-7(2)”, Sib. Electron. Math. Rep., 14 (2017), 1424–1433  mathnet  crossref  mathscinet  zmath  isi
    2. V. I. Zenkov, “O peresecheniyakh par nilpotentnykh podgrupp v nebolshikh gruppakh”, Sib. elektron. matem. izv., 15 (2018), 21–28  mathnet  crossref
    3. V. I. Zenkov, “O peresecheniyakh nilpotentnykh podgrupp v konechnykh gruppakh s tsokolem $L_2(2^m)\times L_2(2^n)$”, Tr. IMM UrO RAN, 24, no. 4, 2018, 126–134  mathnet  crossref  elib
    4. V. I. Zenkov, “On Intersections of Primary Subgroups Pairs in Finite Group With Socle $\Omega_{2n}^+(2^m)$”, Sib. Electron. Math. Rep., 15 (2018), 728–732  mathnet  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. Ya. N. Nuzhin, V. I. Zenkov, “On intersection of primary subgroups in the group $\mathrm {Aut(F_4(2))}$”, J. Sib. Fed. Univ.-Math. Phys., 11:2 (2018), 171–177  mathnet  mathnet  crossref  mathscinet  isi  scopus
    6. V. I. Zenkov, “On Intersections of Abelian and Nilpotent Subgroups in Finite Groups. II”, Math. Notes, 105:3 (2019), 366–375  mathnet  crossref  crossref  isi  elib
  • Фундаментальная и прикладная математика
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