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Ascending HNN-extensions and properly 3-realisable groups

Published online by Cambridge University Press:  17 April 2009

Francisco F. Lasheras
Francisco F. Lasheras
Affiliation:
Departamento de Geometría y Topología, Universidad de Sevilla, Apdo 1160, 41080-Sevilla, Spain e-mail: lasheras@us.es
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In this paper, we show that any ascending HNN-extension of a finitely presented group is properly 3-realisable. We recall that a finitely presented group G is said to be properly 3-realisable if there exists a compact 2-polyhedron K with π1(K) ≅ G and whose universal cover has the proper homotopy type of a (PL) 3-manifold (with boundary).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 72 , Issue 2 , October 2005 , pp. 187 - 196
Copyright
Copyright © Australian Mathematical Society 2005

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