Droms Theorems for twisted right-angled Artin groups

2025/04/29 by Blumer, Simone, Foniqi, Islam, Quadrelli, Claudio · 2 citations
#20E26 #20F36 #20F65 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2504.21196

Abstract

We characterize twisted right-angled Artin groups whose finitely generated subgroups are also twisted right-angled Artin groups. Additionally, we give a classification of coherence within this class of groups in terms of the defining graph. Furthermore, we provide a solution to the isomorphism problem for a notable subclass of these groups.

Citations

• Twisted right-angled Artin groups embedded in knot groups
• When is a TRAAG orderable?
• Twisted right-angled Artin groups
• An introduction to right-angled Artin groups

Cited by

• Conjugacy problem in T-RAAGs
• Restricted graph Lie algebras in even characteristic

Related

• Twisted right-angled Artin groups embedded in knot groups
• Twisted right-angled Artin groups
• On Subgroup Separability and Membership Problems in Twisted Right-Angled Artin Groups
• An introduction to right-angled Artin groups
• Embeddings of right-angled Artin groups