369 citations
- Chinese University of Hong KongHK2 papers
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- Center for Astrophysics Harvard & SmithsonianUS1 paper
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- Consejo Superior de Investigaciones CientíficasES1 paper
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5 papers · 1 filter
SL(n,Z[t]) is not FP_{n-1}
Kai-Uwe Bux, Amir Mohammadi, Kevin Wortman
We prove the result from the title using the geometry of Euclidean buildings.
Compression of uniform embeddings into Hilbert space
N. Brodskiy, D. Sonkin
If one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometric could the embedding be? We answer this question for finite dimensional CAT(0) cube com…
Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields
Igor V. Erovenko, Andrei S. Rapinchuk
Let f be a nondegenerate quadratic form in at least 5 variables over a number field K and let S be a finite set of valuations of K containing all Archimedean ones. We prove that if…
Extensions, Levi subgroups and character formulas
B. Parshall, L. Scott
This paper consists of three interconnected parts. Parts I,III study the relationship between the cohomology of a reductive group and that of a Levi subgroup. For example, we provi…
Finiteness properties of arithmetic groups over function fields
Kai-Uwe Bux, Kevin Wortman
We determine when an arithmetic subgroup of a reductive group defined over a global function field is of type FP_\infty by comparing its large-scale geometry to the large-scale geo…