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Algebra i logika, 2020, Volume 59, Number 4, Pages 458–470
DOI: https://doi.org/10.33048/alglog.2020.59.403 (Mi al2626) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Intersections of nilpotent subgroups in finite groups with sporadic socle

V. I. Zenkovab

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.33048/alglog.2020.59.403
Abstract: It is proved that for any nilpotent subgroups $A$ and $B$ in a finite group $G$ with sporadic socle, there is an element $g$ such that $A\bigcap B^g=1$.
Keywords: sporadic group, nilpotent subgroup, intersections of subgroups.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00456
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
V. I. Zenkov is Supported by RFBR (project No. 20-01-00456) and by the Competitiveness Enhancement Program for leading universities of Russia (Agreement No. 02.A03.21.0006 of 27.08.2013).
Received: 20.03.2020
Revised: 24.11.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 4, Pages 313–321
DOI: https://doi.org/10.1007/s10469-020-09603-x
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. I. Zenkov, “Intersections of nilpotent subgroups in finite groups with sporadic socle”, Algebra Logika, 59:4 (2020), 458–470; Algebra and Logic, 59:4 (2020), 313–321
Citation in format AMSBIB
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\by V.~I.~Zenkov
\paper Intersections of nilpotent subgroups in finite groups with sporadic socle
\jour Algebra Logika
\yr 2020
\vol 59
\issue 4
\pages 458--470
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\crossref{https://doi.org/10.33048/alglog.2020.59.403}
\transl
\jour Algebra and Logic
\yr 2020
\vol 59
\issue 4
\pages 313--321
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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