Van Kampen's embedding obstruction for discrete groups
classification
🧮 math.GT
math.GR
keywords
discontinuouslygroupsproperlyboundcannotcontractibledimensiondiscrete
read the original 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 $\R^{2n-1}$.
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