The (2,4,5) Triangle Coxeter Group is not systolic

2017/01/01 by Adam Wilks, Wilks, Adam · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Group Theory (math.GR) #graph theory and CDMA systems #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1706.08019

openalex publication_date 2017/01/01 · openalex created_date 2017/06/30 · openalex updated_date 2026/08/02

Abstract

We prove that the (2,4,5) Coxeter group is not systolic.

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• Weak Modularity and \widetildeA_n Buildings

Related

• The triangle groups (2,4,5) and (2,5,5) are not systolic
• Systolizing buildings
• Finitely presented subgroups of systolic groups are systolic
• Coxeter groups are biautomatic
• A combinatorial non-positive curvature I: weak systolicity