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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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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 π1–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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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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Publication
Received: 15 November 1997
Published: 27 October 1998
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