Geometry & Topology Monographs 1 (1998) 413–418

DOI: 10.2140/gtm.1998.1.413

arXiv: math.GT/9810198

Abstract

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.

Keywords

double coset decompositions, subgroup separability, 3–manifolds, engulfing property

Mathematical Subject Classification

Primary: 20E26

Secondary: 20F34, 57M05, 57M25

References

Publication

Received: 15 November 1997
Published: 27 October 1998

Authors