Groups, Geometry, and Dynamics
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Published online: 2016-02-09
Systolizing buildingsPiotr Przytycki and Petra Schwer (1) McGill University, Montreal, Canada
(2) Karlsruher Institut für Technologie (KIT), Germany
We introduce a construction turning some Coxeter and Davis realizations of buildings into systolic complexes. Consequently groups acting geometrically on buildings of triangle types distinct from (2, 4, 4), (2, 4, 5), (2, 5, 5), and various rank 4 types are systolic.
Keywords: Systolic complexes, systolic groups, simplicial nonpositive curvature, Coxeter groups, buildings
Przytycki Piotr, Schwer Petra: Systolizing buildings. Groups Geom. Dyn. 10 (2016), 241-277. doi: 10.4171/GGD/349