Generating pairs of 2-bridge knot groups - Mathematics > Geometric TopologyReportar como inadecuado




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Abstract: We study Nielsen equivalence classes of generating pairs of Kleinian groupsand HNN-extensions. We establish the following facts: - Hyperbolic 2-bridgeknot groups have infinitely many Nielsen classes of generating pairs. - For anynatural number N there is a closed hyperbolic 3-manifold whose fundamentalgroup has N distinct Nielsen classes of generating pairs. - Two pairs ofelements of a fundamental group of an HNN-extension are Nielsen equivalent iffthey are so for the obvious reasons.



Autor: Michael Heusener, Richard Weidmann MACS

Fuente: https://arxiv.org/







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