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On the small cancellation geometry of certain graph products of groups

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NPCW01 - Non-positive curvature in action

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)

This talk is part of the Isaac Newton Institute Seminar Series series.

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