Commensurability classes and volumes of hyperbolic 3-manifolds
A. Borel (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A. Borel (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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 . As a result we prove that for any even dimension there exists a unique compact arithmetic hyperbolic -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...
Michael Gromov, I. Piatetski-Shapiro (1987)
Publications Mathématiques de l'IHÉS
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Ted Chinburg, Eduardo Friedman (2000)
Annales de l'institut Fourier
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Given a maximal arithmetic Kleinian group , we compute its finite subgroups in terms of the arithmetic data associated to by Borel. This has applications to the study of arithmetic hyperbolic 3-manifolds.
McReynolds, D.B. (2004)
Algebraic & Geometric Topology
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Long, D.D., Reid, A.W. (2002)
Algebraic & Geometric Topology
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X. Xue (1992)
Geometric and functional analysis
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Ken'ichi Ohshika, Leonid Potyagailo (1998)
Annales scientifiques de l'École Normale Supérieure
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