Homological stability for automorphism groups of RAAGs

TL;DR

This paper proves that the homology groups of automorphism groups of right-angled Artin groups become stable when these groups are extended by taking products with any other right-angled Artin group.

Contribution

It establishes a homological stability result for automorphism groups of RAAGs under product operations, a new insight in geometric group theory.

Findings

Homology stabilizes under products with RAAGs.

Provides a new stability theorem for automorphism groups.

Advances understanding of automorphism group structures.

Abstract

We show that the homology of the automorphism group of a right-angled Artin group stabilizes under taking products with any right-angled Artin group.