Groups, Geometry, and Dynamics

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Volume 10, Issue 1, 2016, pp. 241–277
DOI: 10.4171/GGD/349

Systolizing buildings

Piotr Przytycki[1] and Petra Schwer[2]

(1) Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 Sherbrooke St West, QC H3A 0B9, Montreal, Canada
(2) Institut für Algebra und Geometrie, Karlsruher Institut für Technologie (KIT), Englerstrasse 2, 76131, Karlsruhe, 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