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Soyoung Moon

  1. Hereditary properties of the class $\mathcal{A}$ of Glasner-Monod.

    Tue, 03/23/2010 - 16:01 — SomNambul
    Authors: Soyoung Moon
    Subjects: Group Theory
    Abstract

    We study hereditary properties of the class $\mathcal{A}$ defined by
    Glasner-Monod of countable groups admitting an amenable, transitive and
    faithful action. We consider mainly the case of amalgamated free products, and
    we show in particular that the double of amenable groups and the amalgamated
    free products of two amenable groups over a finite subgroup are contained in
    $\mathcal{A}$.

  2. Cyclically pinched one-relator groups and generic property.

    Wed, 09/16/2009 - 13:15 — SomNambul
    Authors: Soyoung Moon
    Subjects: Group Theory
    Abstract

    We show that a class of cyclically pinched one-relator groups admits
    amenable, faithful and transitive actions on infinite countable sets. This work
    generalizes the results on such actions for doubles of free group on 2
    generators.

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