Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "profinite completions"

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  • Distinguishing geometries using finite quotients 

    Wilton, Henry John; Zalesskii, P (Mathematical Sciences PublishersGeometry and Topology, 2017-02-10)
    We prove that the profinite completion of the fundamental group of a compact 3-manifold M satisfies a Tits alternative: if a closed subgroup H does not contain a free pro-p subgroup for any p, then H is virtually soluble, ...