Van Kampen’s embedding obstruction for discrete groups
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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 ℝ2 n −1.
KeywordsManifold Free Group Discrete Group Contractible Manifold Nonabelian Free Group
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