Parabolic generating pairs of genus-one 2-bridge knot groups

Published 16 Aug 2015 in math.GR and math.GT | (1508.03793v3)

Abstract: We show that any parabolic generating pair of a genus-one hyperbolic 2-bridge knot group is equivalent to the upper or lower meridian pair. As an application, we obtain a complete classification of the epimorphisms from 2-bridge knot groups to genus-one hyperbolic 2-bridge knot groups.

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