# Van Kampen’s embedding obstruction for discrete groups

@article{Bestvina2000VanKE, title={Van Kampen’s embedding obstruction for discrete groups}, author={Mladen Bestvina and Michael Kapovich and Bruce 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.

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