Abstract
Some recent work in the theory of 3-manifolds and immersed surfaces indicates that the class of graph manifolds contains a large number of compact 3-manifolds whose fundamental groups are not subgroup separable (LERF). Rubinstein and Wang have given a criterion to determine whether or not a given horizontal surface in a graph manifold is separable (i.e., lifts to an embedded surface in some finite cover of the manifold). This paper extends the criterion to include some nonhorizontal surfaces in graph manifolds.
Published Version
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