Rotation groups, mediangle graphs, and periagroups: A unified point of view on Coxeter groups and graph products of groups
Abstract
In this article, we introduce rotation groups as a common generalisation of Coxeter groups and graph products of groups. We characterise these groups algebraically 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.
Fields of Study & Subjects
Finite Group Theory Research
Graph theory and applications
Advanced Graph Theory Research
Publication details
- Journal / source
- Groups Geometry and Dynamics
- Publication date
- 24 September 2026
- Language
- EN