Poly-freeness of large even Artin groups

TL;DR

This paper proves that large even Artin groups and those based on triangle graphs are poly-free, advancing understanding of their algebraic structure.

Contribution

It establishes the poly-freeness property for large even Artin groups and those on triangle graphs, a significant theoretical advancement.

Findings

Large even Artin groups are poly-free.

Even Artin groups on triangle graphs are poly-free.

Provides new insights into the structure of these groups.

Abstract

We prove that any large even Artin group is poly-free and that any even Artin group based on a triangle graph is also poly-free.