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The engulfing property for 3-manifold groups

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
Rivin, Igor
Rourke, Colin
Series, Caroline
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Wise, Daniel T.
35c1ac73-ebb5-4361-9df7-8e82e48ef0b5
Rivin, Igor
Rourke, Colin
Series, Caroline

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, , (doi:10.2140/gtm.1998.1.413), 1) Coventry, UK. Geometry & Topology Publications, pp. 413-418. (doi:10.2140/gtm.1998.1.413).

Record type: 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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More information

Published date: 1998
Additional Information: ISSN 1464-8989
Keywords: double coset decompositions, subgroup separability, 3–manifolds, engulfing property

Identifiers

Local EPrints ID: 29813
URI: https://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: 17 Jul 2017 15:56

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