Quasi-arithmetic hyperbolic Coxeter prisms

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.

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2025-09-24
DOI
https://doi.org/10.1090/proc/17352
Primary Topic
Algebraic structures and combinatorial models
Type
article
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article

Quasi-arithmetic hyperbolic Coxeter prisms

Nikolay Bogachev, Khusrav Yorov
Proceedings of the American Mathematical Society
Algebraic structures and combinatorial models
article

Quasi-arithmetic hyperbolic Coxeter prisms

Nikolay Bogachev, Khusrav Yorov
article en

Abstract

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.

Proceedings of the American Mathematical Society
University of Toronto (CA), Scarborough Health Network (CA), Institute for Information Transmission Problems (RU), Computing Center (RU), King Abdullah University of Science and Technology (SA)
Openalex Percentile: Top 68%
Algebraic structures and combinatorial models
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Quasi-arithmetic hyperbolic Coxeter prisms — Nikolay Bogachev, Khusrav Yorov · Proceedings of the American Mathematical Society (2025) | TGRS Research Map | TGRS