Van Kampen's embedding obstruction for discrete groups

Mladen Bestvina; Michael Kapovich; Bruce Kleiner

doi:10.1007/s00222-002-0246-7

Van Kampen's embedding obstruction for discrete groups

Mladen Bestvina, Michael Kapovich, Bruce Kleiner

Mathematics

Research output: Contribution to journal › Article › peer-review

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 ℝ^2n-1.

Original language	English (US)
Pages (from-to)	219-235
Number of pages	17
Journal	Inventiones Mathematicae
Volume	150
Issue number	2
DOIs	https://doi.org/10.1007/s00222-002-0246-7
State	Published - 2002

ASJC Scopus subject areas

General Mathematics

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Van Kampen's embedding obstruction for discrete groups

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