On volumes of arithmetic quotients of $SO (1, n)$

Given a maximal arithmetic Kleinian group $Γ \subset PGL (2, ℂ)$ , we compute its finite subgroups in terms of the arithmetic data associated to $Γ$ by Borel. This has applications to the study of arithmetic hyperbolic 3-manifolds.

Addendum to: On volumes of arithmetic quotients of SO (1, n)

Mikhail Belolipetsky (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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There are errors in the proof of uniqueness of arithmetic subgroups of the smallest covolume. In this note we correct the proof, obtain certain results which were stated as a conjecture, and we give several remarks on further developments.

On arithmetic Fuchsian groups and their characterizations

Slavyana Geninska (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

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This is a small survey paper about connections between the arithmetic and geometric properties in the case of arithmetic Fuchsian groups.

Arithmetic groups and salem numbers.

B. Sury (1992)

Manuscripta mathematica

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Displaying similar documents to “On volumes of arithmetic quotients of S O ( 1 , n ) ”

Displaying similar documents to “On volumes of arithmetic quotients of $S O (1, n)$ ”