On fields of definition of arithmetic Kleinian reflection groups

DOI10.1090/S0002-9939-08-09590-7zbMath1179.30040arXiv0710.5108MaRDI QIDQ3617593

Mikhail Belolipetsky

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5108

zbMATH Keywords

arithmetic groupfield of definitioncovolumeKleinian reflection group

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (5)

Infinitely many quasi-arithmetic maximal reflection groups ⋮ Finiteness theorems for congruence reflection groups. ⋮ Reflective and quasi-reflective Bianchi groups. ⋮ Bounds for arithmetic hyperbolic reflection groups in dimension 2 ⋮ Arithmetic hyperbolic reflection groups

Cites Work

• Arithmetic Fuchsian groups of genus zero.
• Volumes of hyperbolic manifolds
• The smallest arithmetic hyperbolic three-orbifold
• On ground fields of arithmetic hyperbolic reflection groups. II
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