The (2,4,5) triangle Coxeter group is not systolic

TL;DR

This paper proves that the (2,4,5) triangle Coxeter group does not possess the systolic property, contributing to the understanding of geometric group theory.

Contribution

It establishes that the (2,4,5) triangle Coxeter group is not systolic, providing a specific counterexample in the study of systolic groups.

Findings

The (2,4,5) triangle Coxeter group is not systolic.

Counterexample to systolic property in Coxeter groups.

Advances understanding of geometric properties of Coxeter groups.

Abstract

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