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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