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

Donghi Lee; Makoto Sakuma

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arXiv · 1206.0429

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

Donghi Lee·Makoto Sakuma

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Abstract

In Part I of this series of papers, we made Riley's definition of Heckoid groups for 2-bridge links explicit, and gave a systematic construction of epimorphisms from 2-bridge link groups onto Heckoid groups, generalizing Riley's construction. In this paper, we give a complete characterization of upper-meridian-pair-preserving epimorphisms from 2-bridge link groups onto even Heckoid groups, by proving that they are exactly the epimorphisms obtained by the systematic construction.

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Donghi Lee, Makoto Sakuma. 2012-10-26. Epimorphisms from 2-bridge link groups onto Heckoid groups (II). https://arxiv.org/abs/1206.0429

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