Van Kampen's embedding obstruction for discrete groups

Mladen Bestvina, Michael Kapovich, Bruce Kleiner

Research output: Contribution to journalArticle


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.

Original languageEnglish (US)
Pages (from-to)219-235
Number of pages17
JournalInventiones Mathematicae
Issue number2
StatePublished - Dec 1 2002


ASJC Scopus subject areas

  • Mathematics(all)

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