When is a TRAAG orderable?
Yago Antol\'in, Mart\'in Blufstein, Luis Paris
TL;DR
This paper provides a graph-based characterization of when a twisted right-angled Artin group is left-orderable, focusing on the specific relations among generators.
Contribution
It introduces a new criterion based on the defining graph to determine left-orderability of twisted right-angled Artin groups.
Findings
A complete characterization of left-orderability in terms of the defining graph.
Identification of specific graph conditions that imply orderability.
Extension of known results to twisted right-angled Artin groups.
Abstract
We characterize, in terms of the defining graph, when a twisted right-angled Artin group (a group whose only relations among pairs of generators are either commuting or Klein-bottle type relations) is left-orderable.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Measurement and Metrology Techniques · Medical Imaging Techniques and Applications · Advanced Optical Sensing Technologies