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arXiv · 1310.5525

Systolizing buildings

Piotr Przytycki·Petra Schwer
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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.

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Piotr Przytycki, Petra Schwer. 2014-06-30. Systolizing buildings. https://arxiv.org/abs/1310.5525

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