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arXiv · 2412.03849

Twisted right-angled Artin groups embedded in knot groups

Keisuke Himeno·Masakazu Teragaito
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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.

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Keisuke Himeno, Masakazu Teragaito. 2024-12-05. Twisted right-angled Artin groups embedded in knot groups. https://arxiv.org/abs/2412.03849

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