arXiv Open Access 2024

Rotation groups virtually embed into right-angled rotation groups

Anthony Genevois

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Abstrak

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).

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math.GR math.MG

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Anthony Genevois

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Genevois, A. (2024). Rotation groups virtually embed into right-angled rotation groups. https://arxiv.org/abs/2404.15652

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓