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Homomorphisms of nonzero degree between PDn-groups

Part of: Generalized manifolds Topological manifolds Connections with homological algebra and category theory

Published online by Cambridge University Press:  09 April 2009

Jonathan A. Hillman
Jonathan A. Hillman
Affiliation:
School of Mathematics and Statistics, The University of Sydney, Sydney, NSW 2006, Australia e-mail: john@maths.usyd.edu.au
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Abstract

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We give algebraic proofs of some results of Wang on homomorphisms of nonzero degree between aspherical closed orientable 3-manifolds. Our arguments apply to PDn-groups which are virtually poly-Z or have a Kropholler decomposition into parts of generalized Seifert type, for all n.

Keywords

atoroidalcohopficitydegreeKropholler decompositionPoincaré duality grouppoly-ZSeifert typevolume condition

MSC classification

Secondary: 20J05: Homological methods in group theory 57N10: Topology of general $3$-manifolds 57P10: Poincaré duality spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 3 , December 2004 , pp. 335 - 348
Copyright
Copyright © Australian Mathematical Society 2004

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