Subgroup separability, knot groups and graph manifolds

By Graham A. Niblo, Daniel T. Wise. 2000

64 citations recorded by the source corpus.

Subfields: Genetics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f0bd6be984b5bc117042516353e18dd10c08ddd5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Genetics

1. Stefan Friedl
2. Henry Wilton

In Geometry and Topology

1. Stefan Friedl
2. Henry Wilton
3. Taehee Kim
4. Stefano Vidussi
5. Charles Livingston
6. Pavel A. Zalesskii

In Mathematical Physics

1. Stefan Friedl
2. Henry Wilton
3. Taehee Kim
4. Stefano Vidussi
5. Charles Livingston
6. Pavel A. Zalesskii

Citations in the corpus

• The Thurston norm, fibered manifolds and twisted Alexander polynomials (2005, background): “d π1(S) are subgroups) such as subgroup separability, which is conjectured to hold for fundamental groups of hyperbolic manifolds (cf. [Th82]) but does not hold for fundamental groups in general (cf. [NW01]). On the other hand, knots which are not hyperbolic are either torus knots (and therefore fibe”
• Hall’s Theorem for Limit Groups (2006, background): “In [18], Scott also showed that the fundamental groups of Seifert-fibred 3manifolds are subgroup separable, although it has since emerged that this is rarely true of graph manifolds (see, for instance, [4] and [16]).”