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Intersection of Conjugate Solvable Subgroups in Symmetric Groups

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Algebra and Logic Aims and scope

It is proved that for any solvable subgroup G of an almost simple group S with simple socle isomorphic to An, n ≥ 5, there are elements x, y, z, t ∈ S such that G ∩ G x ∩ G y ∩ G z ∩ G t = 1.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. A. Baikalov

  2. Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090, Russia

    A. A. Baikalov

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  1. A. A. Baikalov
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Correspondence to A. A. Baikalov.

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Supported by Russian Science Foundation, project No. 14-21-00065. (A. A. Baikalov)

Translated from Algebra i Logika, Vol. 56, No. 2, pp. 135-149, March-April, 2017.

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Baikalov, A.A. Intersection of Conjugate Solvable Subgroups in Symmetric Groups. Algebra Logic 56, 87–97 (2017). https://doi.org/10.1007/s10469-017-9431-z

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  • DOI: https://doi.org/10.1007/s10469-017-9431-z

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