 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, 22^{nd} 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 quasimetrics 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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