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Systolizing buildings

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Feb 2016Embargo end date: 01 Jan 2013 Germany Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Groups, Geometry, and Dynamics, volume 10, pages 241-277 (issn: 1661-7207, eissn: 1661-7215,

Authors: Przytycki, Piotr; Schwer, Petra;

doi: 10.4171/ggd/349 , 10.48550/arxiv.1310.5525

arXiv: http://arxiv.org/abs/1310.5525

Systolizing buildings

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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.

Country

Germany

Related Organizations

McGill University
Canada
Karlsruhe Institute of Technology
Germany

Keywords

ddc:510, Geometric Topology (math.GT), Group Theory (math.GR), 510, Mathematics - Geometric Topology, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics - Group Theory, Mathematics, info:eu-repo/classification/ddc/510

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