An aspherical 5-manifold with perfect fundamental group

Fuente: arXiv
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Autor principal: Hillman, J. A.
Formato: Preprint
Publicado: 2013
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author Hillman, J. A.
author_facet Hillman, J. A.
contents 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-$p$ Poincaré duality group of dimension $\leq{n-2}$. We also consider the question of whether there are any examples with "dimension drop" 1.
format Preprint
id arxiv_https___arxiv_org_abs_1305_3953
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle An aspherical 5-manifold with perfect fundamental group
Hillman, J. A.
Geometric Topology
Group Theory
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-$p$ Poincaré duality group of dimension $\leq{n-2}$. We also consider the question of whether there are any examples with "dimension drop" 1.
title An aspherical 5-manifold with perfect fundamental group
topic Geometric Topology
Group Theory
url https://arxiv.org/abs/1305.3953