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The
engulfing property for 3–manifolds
Graham A Niblo and Daniel T Wise |
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Geometry & Topology Monographs 1 (1998) 413–418
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DOI: 10.2140/gtm.1998.1.413
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arXiv: math.GT/9810198 |
Abstract |
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We show that there are Haken 3–manifolds whose fundamental groups do not satisfy the engulfing property. In particular one can construct a –injective immersion of a surface into a graph manifold which does not factor through any proper finite cover of the 3–manifold. |
Keywords
double coset decompositions, subgroup separability,
3–manifolds, engulfing property
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Mathematical Subject Classification
Primary: 20E26
Secondary: 20F34, 57M05, 57M25
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References |
Publication
Received: 15 November 1997
Published: 27 October 1998
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Authors |
| Graham A Niblo | |
| Faculty of Mathematical
Studies University of Southampton Highfield, Southampton SO17 1BJ United Kingdom |
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| Daniel T Wise | |
| Department of Mathematics Cornell University Ithaca NY 14853 USA |
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