Arithmetic groups and salem numbers.
B. Sury (1992)
Manuscripta mathematica
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B. Sury (1992)
Manuscripta mathematica
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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.
M.S. RAGHUNATHAN (1967/68)
Inventiones mathematicae
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Filling Bestvina, Alex Eskin, Kevin Wortman (2013)
Journal of the European Mathematical Society
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We provide partial results towards a conjectural generalization of a theorem of Lubotzky-Mozes-Raghunathan for arithmetic groups (over number fields or function fields) that implies, in low dimensions, both polynomial isoperimetric inequalities and finiteness properties. As a tool in our proof, we establish polynomial isoperimetric inequalities and finiteness properties for certain solvable groups that appear as subgroups of parabolic groups in semisimple groups, thus generalizing a...
Miao, Long, Qian, Guohua (2009)
Sibirskij Matematicheskij Zhurnal
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Miguel Ganzález, J. Otal, J.M. Pena (1990)
Manuscripta mathematica
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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...
Chikashi Miyazaki (1996)
Manuscripta mathematica
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Mika Seppälä, Tuomas Sorvali (1989)
Manuscripta mathematica
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Ulrich Stuhler (1980)
Inventiones mathematicae
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Paul Schmutz (1996)
Mathematische Zeitschrift
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Peter Fleischmann, Ingo Janiszczak (1993)
Manuscripta mathematica
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Lempken, Wolfgang, van Trung, Tran (2005)
Experimental Mathematics
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