A new proof of finiteness of maximal arithmetic reflection groups (Q6098915)
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scientific article; zbMATH DE number 7697375
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new proof of finiteness of maximal arithmetic reflection groups |
scientific article; zbMATH DE number 7697375 |
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A new proof of finiteness of maximal arithmetic reflection groups (English)
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19 June 2023
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In this paper, the authors provide a new proof of the following result, originally proved by \textit{V. V. Nikulin} [Math. USSR, Izv. 16, 573--601 (1981; Zbl 0465.22007)]. Theorem. For every \(n\geq 2\), there exists only finitely many maximal arithmetic reflection groups \(\Gamma \leq \mathrm{Isom }(\mathbb{H}^{n}).\)
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reflection groups
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hyperbolic geometry
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