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The true prosoluble completion of a group: Examples and open problems

Arzhantseva, Goulnara ; de la Harpe, Pierre ; Kahrobaei, Delaram ; Šunić, Zoran

In: Geometriae Dedicata, 2007, vol. 124, no. 1, p. 5-26

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    Titre
    • The true prosoluble completion of a group: Examples and open problems
    Auteur
    • Arzhantseva, Goulnara. Section de Mathématiques, Université de Genève, C.P. 64, CH-1211, Geneva, Switzerland
    • de la Harpe, Pierre. Section de Mathématiques, Université de Genève, C.P. 64, CH-1211, Geneva, Switzerland
    • Kahrobaei, Delaram. Mathematics Department (Namm 724), New York City College of Technology (CUNY), 300 Jay Street, 11201, Brooklyn, NY, USA
    • Šunić, Zoran. Department of Mathematics, Texas A&M University, 77843-3368, College Station, TX, USA
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Geometriae Dedicata, 2007, vol. 124, no. 1, p. 5-26. Kluwer Academic Publishers
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:321801
    Summary
    The true prosoluble completion $$P\mathcal S (\Gamma)$$ of a group Γ is the inverse limit of the projective system of soluble quotients of Γ. Our purpose is to describe examples and to point out some natural open problems. We discuss a question of Grothendieck for profinite completions and its analogue for true prosoluble and true pronilpotent completions