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Epimorphisms from 2-bridge link groups onto Heckoid groups. II. (English) Zbl 1301.57007
Summary: In Part I of this series of papers [Hiroshima Math. J. 43, No. 2, 239–264 (2013; Zbl 1296.57011)], 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.

MSC:
57M25 Knots and links in the \(3\)-sphere (MSC2010)
57M50 General geometric structures on low-dimensional manifolds
20F06 Cancellation theory of groups; application of van Kampen diagrams
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Full Text: Euclid arXiv
References:
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