Classifiation of parabolic generating pairs of Kleinian groups with two parabolic generators

Aimi, Shunsuke
•
Lee, Donghi
•
Sakai, Shunsuke
•
Sakuma, Makoto
2020
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ISSN
0049-4704
DOI
e-ISSN
2464-8728
Abstract
We give an alternative proof to Agol's classification of parabolic generating pairs of non-free Kleinian groups generated by two parabolic transformations. As an application, we give a complete characterisation of epimorphims between 2-bridge knot groups and a complete characterisation of degree one maps between the exteriors of hyperbolic 2-bridge links.
Journal
Subjects
Publisher
EUT Edizioni Università di Trieste
Source
Shunsuke Aimi, Donghi Lee, Shunsuke Sakai and Makoto Sakuma, "Classifiation of parabolic generating pairs of Kleinian groups with two parabolic generators" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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