Displaying similar documents to “Non-arithmetic groups in Lobachevsky spaces”

On volumes of arithmetic quotients of S O ( 1 , n )

Mikhail Belolipetsky (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We apply G. Prasad’s volume formula for the arithmetic quotients of semi-simple groups and Bruhat-Tits theory to study the covolumes of arithmetic subgroups of S O ( 1 , n ) . As a result we prove that for any even dimension  n there exists a unique compact arithmetic hyperbolic n -orbifold of the smallest volume. We give a formula for the Euler-Poincaré characteristic of the orbifolds and present an explicit description of their fundamental groups as the stabilizers of certain lattices in quadratic...

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.