Van Kampen’s embedding obstruction for discrete groups

@article{Bestvina2000VanKE,
  title={Van Kampen’s embedding obstruction for discrete groups},
  author={M. Bestvina and M. Kapovich and B. Kleiner},
  journal={Inventiones mathematicae},
  year={2000},
  volume={150},
  pages={219-235}
}
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. 
Action dimension of lattices in Euclidean buildings
Action dimensions of some simple complexes of groups.
Proper actions of lattices on contractible manifolds
Nonhyperbolic Coxeter groups with Menger curve boundary
The action dimension of right-angled Artin groups
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