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Displaying similar documents to “Homological Properties of Certain Arithmetic Groups in the Function Field Case.”

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.

Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups

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...