The engulfing property for 3-manifold groups
The engulfing property for 3-manifold groups
We show that there are Haken 3-manifolds whose fundamental groups do not satisfy the engulfing property. In particular one can construct a pi_1-injective immersion of a surface into a graph manifold which does not factor through any proper finite cover of the 3-manifold.
double coset decompositions, subgroup separability, 3–manifolds, engulfing property
413-418
Geometry & Topology Publications
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Wise, Daniel T.
35c1ac73-ebb5-4361-9df7-8e82e48ef0b5
1998
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Wise, Daniel T.
35c1ac73-ebb5-4361-9df7-8e82e48ef0b5
Niblo, Graham A. and Wise, Daniel T.
(1998)
The engulfing property for 3-manifold groups.
In,
Rivin, Igor, Rourke, Colin and Series, Caroline
(eds.)
The Epstein Birthday Schrift.
(Geometry & Topology Monographs, 1)
Coventry, UK.
Geometry & Topology Publications, .
(doi:10.2140/gtm.1998.1.413).
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Book Section
Abstract
We show that there are Haken 3-manifolds whose fundamental groups do not satisfy the engulfing property. In particular one can construct a pi_1-injective immersion of a surface into a graph manifold which does not factor through any proper finite cover of the 3-manifold.
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Published date: 1998
Additional Information:
ISSN 1464-8989
Keywords:
double coset decompositions, subgroup separability, 3–manifolds, engulfing property
Identifiers
Local EPrints ID: 29813
URI: http://eprints.soton.ac.uk/id/eprint/29813
PURE UUID: 9ff6e45e-919b-4f20-a932-3550beae40d4
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Date deposited: 17 May 2007
Last modified: 16 Mar 2024 02:44
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Contributors
Author:
Daniel T. Wise
Editor:
Igor Rivin
Editor:
Colin Rourke
Editor:
Caroline Series
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