JournalsggdVol. 10, No. 1pp. 241–277

Systolizing buildings

  • Piotr Przytycki

    McGill University, Montreal, Canada

  • Petra Schwer

    Karlsruher Institut für Technologie (KIT), Germany
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Abstract

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.

Cite this article

Piotr Przytycki, Petra Schwer, Systolizing buildings. Groups Geom. Dyn. 10 (2016), no. 1, pp. 241–277

DOI 10.4171/GGD/349