Author:
Burns R. G.,Karrass A.,Solitar D.
Abstract
An example is given of an infinite cyclic extension of a free group of finite rank in which not every finitely generated subgroup is finitely separable. This answers negatively the question of Peter Scott as to whether in all finitely generated 3-manifold groups the finitely generated subgroups are finitely separable. In the positive direction it is shown that in knot groups and one-relator groups with centre, the finitely generated normal subgroups are finitely separable.
Publisher
Cambridge University Press (CUP)
Cited by
50 articles.
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