Rotation groups virtually embed into right-angled rotation groups

Autor:	Genevois, Anthony
Rok vydání:	2024
Předmět:	Mathematics - Group Theory Mathematics - Metric Geometry 20F65 20F55
Druh dokumentu:	Working Paper
Popis:	It is a theorem due to F. Haglund and D. Wise that reflection groups (aka Coxeter groups) virtually embed into right-angled reflection groups (aka right-angled Coxeter groups). In this article, we generalise this observation to rotation groups, which can be thought of as a common generalisation of Coxeter groups and graph products of groups. More precisely, we prove that rotation groups (aka periagroups) virtually embed into right-angled rotation groups (aka graph products of groups). Comment: 26 pages, 4 figures. Comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.15652 Zobrazit plný text záznamu View this record from Arxiv