Semidualities from products of trees

DOI10.2140/gt.2018.22.1717zbMath1494.20070arXiv1611.00098OpenAlexW3098526647MaRDI QIDQ1746314

Kevin Wortman, Daniel Studenmund

Publication date: 25 April 2018

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00098

zbMATH Keywords

lamplighter grouparithmetic groupscohomology of arithmetic groupsDiestel-Leader groupssemiduality

Mathematics Subject Classification ID

General topology of complexes (57Q05) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Cohomology theory for linear algebraic groups (20G10)

Cites Work

• Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups
• Connectivity properties of horospheres in Euclidean buildings and applications to finiteness properties of discrete groups.
• Finiteness properties of arithmetic groups over function fields.
• Horocyclic products of trees
• Homological properties of certain arithmetic groups in the function field case
• Cohomologie d'immeubles et de groupes S-arithmétiques
• On groups of type \((FP)_\infty\)
• Finiteness properties of duality groups
• Finiteness properties of soluble arithmetic groups over global function fields.
• Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem.
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• A finitely-presented solvable group with a small quasi-isometry group.
• Endliche Erzeugbarkeit arithmetischer Gruppen über Funktionenkörpern
• Minkowskische Reduktionstheorie über Funktionenkörpern
• Bounding the homological finiteness length
• Finiteness properties of groups

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