Groups, Geometry, and Dynamics


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

Published online: 2016-02-09

Systolizing buildings

Piotr Przytycki[1] and Petra Schwer[2]

(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