Twisted right-angled Artin groups embedded in knot groups
Geometric Topology
2024-12-06 v1 Group Theory
Abstract
Twisted right-angled Artin groups are defined through presentation based on mixed graphs. Each vertex corresponds to a generator, each undirected edge yields a commuting relation and each directed edge gives a Klein bottle relation. If there is no directed edge, then this reduces to an ordinary right-angled Artin group. There is a characterization of right-angled Artin groups which can be embedded in knot groups by Katayama. In this paper, we completely determine twisted right-angled Artin groups embedded in knot groups.
Cite
@article{arxiv.2412.03849,
title = {Twisted right-angled Artin groups embedded in knot groups},
author = {Keisuke Himeno and Masakazu Teragaito},
journal= {arXiv preprint arXiv:2412.03849},
year = {2024}
}
Comments
18 pages, 2 figures