Epimorphisms from 2-bridge link groups onto Heckoid groups (II)
Group Theory
2012-10-29 v3 Geometric Topology
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.
Cite
@article{arxiv.1206.0429,
title = {Epimorphisms from 2-bridge link groups onto Heckoid groups (II)},
author = {Donghi Lee and Makoto Sakuma},
journal= {arXiv preprint arXiv:1206.0429},
year = {2012}
}
Comments
20 pages, 1 figure; updated version, incorporating the referee's comments; to appear in Hiroshima Mathematical Journal