English

Systolizing buildings

Group Theory 2014-07-01 v2 Combinatorics Geometric Topology

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)(2,4,4), (2,4,5)(2,4,5), (2,5,5)(2,5,5), and various rank 44 types are systolic.

Keywords

Cite

@article{arxiv.1310.5525,
  title  = {Systolizing buildings},
  author = {Piotr Przytycki and Petra Schwer},
  journal= {arXiv preprint arXiv:1310.5525},
  year   = {2014}
}

Comments

29 pages, 14 figures

R2 v1 2026-06-22T01:50:51.905Z