The true prosoluble completion of a group: Examples and open problems
Identifieur interne : 000B04 ( Main/Merge ); précédent : 000B03; suivant : 000B05The true prosoluble completion of a group: Examples and open problems
Auteurs : Goulnara Arzhantseva [Suisse] ; Pierre De La Harpe [Suisse] ; Delaram Kahrobaei [États-Unis] ; Zoran Šuni [États-Unis]Source :
- Geometriae Dedicata [ 0046-5755 ] ; 2007-02-01.
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Abstract
Abstract: 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.
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DOI: 10.1007/s10711-006-9103-y
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<front><div type="abstract" xml:lang="en">Abstract: 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.</div>
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