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Pré-Publication, Document De Travail Année : 2009

Generating pairs of 2-bridge knot groups

Résumé

We study Nielsen equivalence classes of generating pairs of Kleinian groups and HNN-extensions. We establish the following facts: - Hyperbolic 2-bridge knot groups have infinitely many Nielsen classes of generating pairs. - For any natural number N there is a closed hyperbolic 3-manifold whose fundamental group has N distinct Nielsen classes of generating pairs. - Two pairs of elements of a fundamental group of an HNN-extension are Nielsen equivalent iff they are so for the obvious reasons.
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Dates et versions

hal-00358607 , version 1 (03-02-2009)
hal-00358607 , version 2 (29-07-2009)
hal-00358607 , version 3 (12-03-2010)

Identifiants

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Michael Heusener, Richard Weidmann. Generating pairs of 2-bridge knot groups. 2009. ⟨hal-00358607v2⟩
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