Epimorphisms from 2-bridge link groups onto Heckoid groups (II)

2012/06/03 by Lee, Donghi, Sakuma, Makoto · 1 citation
#20F06 #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1206.0429

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.

Cited by

• Reidemeister torsion of two-bridge knots and signatures of TQFT

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• Epimorphisms from 2-bridge link groups onto Heckoid groups (I)
• Simple loops on 2-bridge spheres in Heckoid orbifolds for 2-bridge links
• Genera of two-bridge knots and epimorphisms of their knot groups
• Parabolic generating pairs of genus-one 2-bridge knot groups
• Generating function on epimorphisms between 2-bridge knot groups