When is a TRAAG orderable?

Yago Antolín; Martín Blufstein; Luis Paris

doi:10.1080/00927872.2025.2462800

When is a TRAAG orderable?

Yago Antolín, Martín Blufstein^*, Luis Paris

^*Corresponding author for this work

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

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.

Original language	English
Journal	Communications in Algebra
ISSN	0092-7872
DOIs	https://doi.org/10.1080/00927872.2025.2462800
Publication status	E-pub ahead of print - 2025

Bibliographical note

Publisher Copyright:
© 2025 The Author(s). Published with license by Taylor & Francis Group, LLC.

Keywords

orderability
twisted right-angled Artin groups

Access to Document

10.1080/00927872.2025.2462800Licence: CC BY

Cite this

@article{6aec0fb284e0457ca565bbc235fd973e,

title = "When is a TRAAG orderable?",

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.",

keywords = "orderability, twisted right-angled Artin groups",

author = "Yago Antol{\'i}n and Mart{\'i}n Blufstein and Luis Paris",

note = "Publisher Copyright: {\textcopyright} 2025 The Author(s). Published with license by Taylor & Francis Group, LLC.",

year = "2025",

doi = "10.1080/00927872.2025.2462800",

language = "English",

journal = "Communications in Algebra",