# 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}
}```
• Published 2000
• Mathematics
• Inventiones mathematicae
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.

#### References

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