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 |
Citations:
Zbl 1296.57011References:
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