Van Kampen's embedding obstruction for discrete groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60126We 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 $\R^{2n-1}$.20 pagesGeometric TopologyGroup Theory57RVan Kampen's embedding obstruction for discrete groupstext