Epimorphisms from 2-bridge link groups onto Heckoid groups (I)

Donghi Lee; Makoto Sakuma

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arXiv · 1205.4631

Epimorphisms from 2-bridge link groups onto Heckoid groups (I)

Donghi Lee·Makoto Sakuma

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Abstract

Riley "defined" the Heckoid groups for 2-bridge links as Kleinian groups, with nontrivial torsion, generated by two parabolic transformations, and he constructed an infinite family of epimorphisms from 2-bridge link groups onto Heckoid groups. In this paper, we make Riley's definition explicit, and give a systematic construction of epimorphisms from 2-bridge link groups onto Heckoid groups, generalizing Riley's construction.

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Donghi Lee, Makoto Sakuma. 2012-10-26. Epimorphisms from 2-bridge link groups onto Heckoid groups (I). https://arxiv.org/abs/1205.4631

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