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On the small cancellation geometry of certain graph products of groups

Presented by: 
Alexandre Martin
Friday 13th January 2017 - 14:30 to 15:30
INI Seminar Room 1
Graph products of groups generalise both right-angled Coxeter groups and right-angled Artin groups. While such groups are already known to act on right-angled buildings, I will explain how it is possible, when the underlying graph is a cycle, to construct a more "robust" action on a small cancellation polygonal complex. Such an action can be used to compute the automorphism group of such groups and understand their geometry. (joint work with A. Genevois)
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons