# Large-type Artin groups are systolic

## TL;DR

This paper proves that a broad class of Artin groups, including all large-type ones, are systolic, leading to significant geometric and algebraic consequences such as biautomaticity and solutions to conjectures.

## Contribution

It establishes the systolic property for a wide class of Artin groups, providing a unified geometric framework and deriving multiple algebraic and topological results.

## Key findings

- Artin groups from the specified class are systolic
- New results on biautomaticity and $EZ$-boundaries
- Verification of the Novikov and Burghelea conjectures

## Abstract

We prove that Artin groups from a class containing all large-type Artin groups are systolic. This provides a concise yet precise description of their geometry. Immediate consequences are new results concerning large-type Artin groups: biautomaticity; existence of $EZ$-boundaries; the Novikov conjecture; descriptions of finitely presented subgroups, of virtually solvable subgroups, and of centralizers for infinite order elements; the Burghelea conjecture; existence of low-dimensional models for classifying spaces for some families of subgroups.