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Algebra i logika, 2017, Volume 56, Number 2, Pages 135–149
DOI: https://doi.org/10.17377/alglog.2017.56.201 (Mi al784) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Intersection of conjugate solvable subgroups in symmetric groups

A. A. Baikalovab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.17377/alglog.2017.56.201
Abstract: It is proved that for any solvable subgroup $G$ of an almost simple group $S$ with simple socle isomorphic to $A_n$, $n\ge5$, there are elements $x,y,z,t\in S$ such that $G\cap G^x\cap G^y\cap G^z\cap G^t=1$.
Keywords: symmetric group, solvable group, almost simple group.
Funding agency Grant number
Russian Science Foundation 14-21-00065
Supported by Russian Science Foundation, project No. 14-21-00065.
Received: 10.04.2015
Revised: 18.03.2016
English version:
Algebra and Logic, 2017, Volume 56, Issue 2, Pages 87–97
DOI: https://doi.org/10.1007/s10469-017-9431-z
Bibliographic databases:
Document Type: Article
UDC: 512.542.7
Language: Russian
Citation: A. A. Baikalov, “Intersection of conjugate solvable subgroups in symmetric groups”, Algebra Logika, 56:2 (2017), 135–149; Algebra and Logic, 56:2 (2017), 87–97
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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