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

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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. Zenkov^ab, Ya. N. Nuzhin^c

^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)

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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}

Linking options:

https://www.mathnet.ru/eng/fpm1616

https://www.mathnet.ru/eng/fpm/v19/i6/p115

This publication is cited in the following 8 articles:

V. I. Zenkov, “On Intersections of Nilpotent Subgroups in Finite Groups with Simple Socle from the “Atlas of Finite Groups””, Proc. Steklov Inst. Math. (Suppl.), 323:1 (2023), S321–S332
V. I. Zenkov, “Intersections of three nilpotent subgroups in a finite group”, Siberian Math. J., 62:4 (2021), 621–637
V. I. Zenkov, “On Intersections of Abelian and Nilpotent Subgroups in Finite Groups. II”, Math. Notes, 105:3 (2019), 366–375
V. I. Zenkov, “O peresecheniyakh par nilpotentnykh podgrupp v nebolshikh gruppakh”, Sib. elektron. matem. izv., 15 (2018), 21–28
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
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
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
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	64

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