English

Van Kampen's embedding obstruction for discrete groups

Geometric Topology 2007-05-23 v1 Group Theory

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 nn-fold product of nonabelian free groups cannot act properly discontinuously on R2n1\R^{2n-1}.

Keywords

Cite

@article{arxiv.math/0010141,
  title  = {Van Kampen's embedding obstruction for discrete groups},
  author = {Mladen Bestvina and Michael Kapovich and Bruce Kleiner},
  journal= {arXiv preprint arXiv:math/0010141},
  year   = {2007}
}

Comments

20 pages