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An aspherical 5-manifold with perfect fundamental group

Published 16 May 2013 in math.GT and math.GR | (1305.3953v3)

Abstract: We construct aspherical closed orientable 5-manifolds with perfect fundamental group. This completes part of our study (with D.H.Kochloukova and I.Lima) of $PD_n$-groups with pro-$p$ completion a pro-$p$ Poincar\'e duality group of dimension $\leq{n-2}$. We also consider the question of whether there are any examples with "dimension drop" 1.

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