Isomorphisms Between Bestsvina--Brady Groups and Right-angled Artin Groups

TL;DR

This paper provides a combinatorial criterion to identify when a Bestvina--Brady group is isomorphic to a right-angled Artin group, advancing understanding of their structural relationships.

Contribution

It introduces a new combinatorial criterion for isomorphism between Bestvina--Brady groups and right-angled Artin groups, clarifying their structural connections.

Findings

Established a criterion for isomorphism based on combinatorial properties.

Identified specific conditions under which these groups are equivalent.

Enhanced understanding of the relationship between Bestvina--Brady and right-angled Artin groups.

Abstract

We give a combinatorial criterion for determining which Bestvina--Brady group is isomorphic to a right-angled Artin group.