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ON UNIVERSAL KLEINIAN GROUPS GENERATED BY 180° ROTATIONS

HUGH M. HILDEN

Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA

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and

ENRIQUE RAMÍREZ-LOSADA

CIMAT, A.P. 402, Guanajuato 36000, Gto., México

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https://doi.org/10.1142/S0218216510008479Cited by:0 (Source: Crossref)

Abstract

A 2-universal knot is a universal knot having all branching indices 1 or 2. Here we construct the first example of a 2-universal knot which could be a hyperbolic knot (SnapPea). Hence, we could have an example of a universal group generated by 180° rotations.

Dedicated to José María Montesinos on the occasion of his 65th birthday

Keywords:

AMSC: Primary 57M

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