Browsing by Author "Bux, Kai-Uwe"

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    Cohomological and Metric Properties of Groups of Homeomorphisms of R
    (Zürich : EMS Publ. House, 2018) Bux, Kai-Uwe; Nucinkis, Brita
    In recent years, the family of groups sharing features or design principles with classical Thompson groups has grown considerably. The workshop highlights new developments in this field with special emphasis on algorithmic questions, cohomological properties, and smoothability of actions.
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    Higher finiteness properties of reductive arithmetic groups in positive characteristic: The rank theorem
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2011) Bux, Kai-Uwe; Gramlich, Ralf; Witzel, Stefan
    We show that the finiteness length of an S-arithmetic subgroup Gamma in a noncommutative isotropic absolutely almost simple group G over a global function field is one less than the sum of the local ranks of G taken over the places in S. This determines the finiteness properties for arithmetic subgroups in isotropic reductive groups, confirming the conjectured finiteness properties for this class of groups. Our main tool is Behr-Harder reduction theory which we recast in terms of the metric structure of euclidean buildings.