REVIEW 1 cited by
Right-angled Artin subgroups of right-angled Coxeter and Artin groups
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We determine when certain natural classes of subgroups of right-angled Coxeter groups (RACGs) and right-angled Artin groups (RAAGs) are themselves RAAGs. We characterize finite-index visual RAAG subgroups of 2-dimensional RACGs. As an application, we show that any 2-dimensional, one-ended RACG with planar defining graph is quasi-isometric to a RAAG if and only if it is commensurable to a RAAG. Additionally, we give new examples of RACGs with non-planar defining graphs which are commensurable to RAAGs. Finally, we give a new proof of a result of Dyer: every subgroup generated by conjugates of RAAG generators is itself a RAAG.
Forward citations
Cited by 1 Pith paper
-
Subgroups of right-angled Coxeter groups via Stallings-like techniques
A subgroup of a right-angled Coxeter group is quasiconvex exactly when its constructed completion complex is finite, and this yields new algorithmic tests for subgroup properties and finite-index embeddability.
Discussion (0). Continue with ORCID to comment.