An infinitely generated virtual cohomology group for noncocompact arithmetic groups over function fields.

DOI10.4171/GGD/344zbMath1348.20061arXiv1312.6735MaRDI QIDQ260103

Kevin Wortman

Publication date: 18 March 2016

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6735

zbMATH Keywords

cohomology of groupsarithmetic groups over function fieldsEuclidean buildings

Mathematics Subject Classification ID

Cohomology of groups (20J06) Homological methods in group theory (20J05) Linear algebraic groups over global fields and their integers (20G30) Buildings and the geometry of diagrams (51E24) Cohomology of arithmetic groups (11F75)

Cites Work

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• Connectivity properties of horospheres in Euclidean buildings and applications to finiteness properties of discrete groups.
• Finiteness properties of arithmetic groups over function fields.
• Homological properties of certain arithmetic groups in the function field case
• Finiteness properties of certain arithmetic groups in the function field case
• On groups of type \((FP)_\infty\)
• Finiteness properties of Chevalley groups over \(\mathbb{F}_ q[t\)]
• Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem.
• Spherical subcomplexes of spherical buildings
• Minkowskische Reduktionstheorie über Funktionenkörpern
• Bounding the homological finiteness length
• Arithmetic groups over function fields I
• Boundaries of right-angled hyperbolic buildings

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