Van Kampen's embedding obstruction for discrete groups

Details Van Kampen's embedding obstruction for discrete groups Van Kampen's embedding obstruction for discrete groups

2000-10-13

arxiv.org/abs/math/0010141v1

Mathematics

Geometric Topology

20 pages

Scientific paper

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 $\R^{2n-1}$.

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