Van Kampen’s embedding obstruction for discrete groups

By M. Bestvina, Michael Kapovich, Bruce Kleiner. 2000

69 citations recorded by the source corpus.

Abstract.We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the n-fold product of nonabelian free groups cannot act properly discontinuously on ℝ2n−1.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/108400895cc26fbbcb0fa1fabc4e0e654a5cebfd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Yehuda Shalom
2. Sorin Popa
3. Damien Gaboriau
4. Nicolas Monod
5. Roman Sauer
6. P. Caprace
7. D. Fisher
8. A. Furman

In Mathematical Physics

1. Yehuda Shalom
2. Nicolas Monod
3. Sorin Popa
4. D. Fisher
5. Adrian Ioana
6. P. Caprace
7. Damien Gaboriau
8. A. Furman

Citations in the corpus

• Harmonic analysis, cohomology, and the large-scale geometry of amenable groups (2004, background): “Are non-uniform lattices (excluding free groups) also UE rigid? (Can the recent [7] and [ 8 ] be relevant for such questions?) What about uniform lattices in semisimple algebraic groups over p-adic fields? To avoid hasty conjectures notice that in the positive characteristic case, uniform lattices a”