Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces

DOI10.1070/IM2007v071n01ABEH002349zbMath1131.22009arXivmath/0609256MaRDI QIDQ5445134

Viacheslav V. Nikulin

Publication date: 3 March 2008

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609256

zbMATH Keywords

Lobachevsky spacesnumber of maximal arithmetic groups

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40) Other geometric groups, including crystallographic groups (20H15) Classical groups (11E57) Reflection groups, reflection geometries (51F15)

Related Items (11)

The classification of rank 3 reflective hyperbolic lattices over ⋮ Infinitely many quasi-arithmetic maximal reflection groups ⋮ A new proof of finiteness of maximal arithmetic reflection groups ⋮ From geometry to arithmetic of compact hyperbolic Coxeter polytopes ⋮ Cheeger constants of hyperbolic reflection groups and Maass cusp forms of small eigenvalues ⋮ Bounds for arithmetic hyperbolic reflection groups in dimension 2 ⋮ The Classification of Almost Affine (Hyperbolic) Lie Superalgebras ⋮ Essential hyperbolic Coxeter polytopes ⋮ Arithmetic hyperbolic reflection groups ⋮ Classification of stably reflective hyperbolic \(\mathbb{Z}[\sqrt 2 \)-lattices of rank 4] ⋮ Classification of $(1{,}{\kern1pt}2)$-reflective anisotropic hyperbolic lattices of rank $4$

This page was built for publication: Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces