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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2007, Volume 13, Number 2, Pages 86–89 (Mi timm91)  

This article is cited in 2 scientific papers (total in 2 papers)

On intersections of solvable Hall subgroups in finite nonsolvable groups

V. I. Zenkov
Full-text PDF (231 kB) Citations (2)
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Abstract: The author continues the investigation of intersections of Hall subgroups in finite groups. Previously, the author proved that in the case when a Hall subgroup is Sylow there are three subgroups conjugate to it such that their intersection coincides with the maximal normal primary subgroup. A similar assertion holds for Hall subgroups in solvable groups. The aim of this paper is to construct examples of a (nonsolvable) group in which the intersection of any four subgroups conjugate to some Hall subgroup is nontrivial.
Received: 03.05.2007
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2007, Volume 259, Issue 2, Pages S250–S253
DOI: https://doi.org/10.1134/S0081543807060181
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. I. Zenkov, “On intersections of solvable Hall subgroups in finite nonsolvable groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 2, 2007, 86–89; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S250–S253
Citation in format AMSBIB
\Bibitem{Zen07}
\by V.~I.~Zenkov
\paper On intersections of solvable Hall subgroups in finite nonsolvable groups
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 2
\pages 86--89
\mathnet{http://mi.mathnet.ru/timm91}
\elib{https://elibrary.ru/item.asp?id=12040771}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2007
\vol 259
\issue , suppl. 2
\pages S250--S253
\crossref{https://doi.org/10.1134/S0081543807060181}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38949123180}
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  • https://www.mathnet.ru/eng/timm/v13/i2/p86
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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