Epimorphisms from 2-bridge link groups onto Heckoid groups (I)
Geometric Topology
2012-10-29 v3
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.
Keywords
Cite
@article{arxiv.1205.4631,
title = {Epimorphisms from 2-bridge link groups onto Heckoid groups (I)},
author = {Donghi Lee and Makoto Sakuma},
journal= {arXiv preprint arXiv:1205.4631},
year = {2012}
}
Comments
26 pages, 7 figures; Remark 2.1 added; updated version, incorporating the referee's comments; to appear in Hiroshima Mathematical Journal