• CARMA SEMINAR
  • Speaker: José Burillo, Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya
  • Title: Distortion and metric estimates for finitely generated groups
  • Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Time and Date: 3:00 pm, Fri, 22nd Feb 2013
  • Abstract:

    After Gromov's work in the 1980s, the modern approach to studying infinite groups is from the geometric point of view, seeing them as metric spaces and using geometric concepts. One of these is the concept of distortion of a subgroup in a group. Here we will give the definition and some examples of distorted and nondistorted subgroups and some recent results on them. The main tools used to establish these results are quasi-metrics or metric estimates, which are quantities which differ from the distance by a multiplicative constant, but which still capture the concept enough to understand distortion.


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