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On surface Bieberbach groups

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  26 February 2010

F. E. A. Johnson
F. E. A. Johnson
Affiliation:
Department of Mathematics, University College London, Gower Street, London. WCIE 6BT.
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Extract

Recall that a Poincaré Duality group G is said to be smoothly realisable when there exists a smooth closed manifold XG of homotopy type K(G, 1). In this note we prove

Theorem 1. Let

be an exact sequence of groups in which each Si is a Surface group, withfor i ≠ j, Ф is finite and G is torsion free. Then the Poincaré Duality group G is smoothly realisable.

MSC classification

Secondary: 20F34: Fundamental groups and their automorphisms
Type
Research Article
Information
Mathematika , Volume 34 , Issue 1 , June 1987 , pp. 82 - 85
Copyright
Copyright © University College London 1987

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References

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