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arXiv · 2212.06421

Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups

Anthony Genevois
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Abstract

In this article, we introduce rotation groups as a common generalisation of Coxeter groups and graph products of groups (including right-angled Artin groups). We characterise algebraically these groups by presentations (periagroups) and we propose a combinatorial geometry (mediangle graphs) to study them. As an application, we give natural and unified proofs for several results that hold for both Coxeter groups and graph products of groups.

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Anthony Genevois. 2022-12-13. Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups. https://arxiv.org/abs/2212.06421

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