Quasi-arithmetic hyperbolic Coxeter prisms

Fuente: arXiv
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Main Authors: Bogachev, Nikolay, Yorov, Khusrav
Format: Preprint
Published: 2023
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author Bogachev, Nikolay
Yorov, Khusrav
author_facet Bogachev, Nikolay
Yorov, Khusrav
contents In 1974, Kaplinskaja classified all simplicial straight hyperbolic Coxeter prisms. In this paper, we determine precisely which of these prisms are properly quasi-arithmetic or arithmetic. We also present some observations regarding commensurability classes and systoles of the associated orbifolds.
format Preprint
id arxiv_https___arxiv_org_abs_2312_17193
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quasi-arithmetic hyperbolic Coxeter prisms
Bogachev, Nikolay
Yorov, Khusrav
Geometric Topology
Group Theory
Number Theory
In 1974, Kaplinskaja classified all simplicial straight hyperbolic Coxeter prisms. In this paper, we determine precisely which of these prisms are properly quasi-arithmetic or arithmetic. We also present some observations regarding commensurability classes and systoles of the associated orbifolds.
title Quasi-arithmetic hyperbolic Coxeter prisms
topic Geometric Topology
Group Theory
Number Theory
url https://arxiv.org/abs/2312.17193