Abstract

POMMERENKE, CHRISTIAN  and  TORO, MARGARITA. Knot groups with two generators. Integración - UIS [online]. 2011, vol.29, n.1, pp.1-14. ISSN 0120-419X.

Abstract.We study knot groups that admit a presentation with two generators and one relation. We say that a presentation is palindromic if r is a palindrome, that is, if r is a word that reads the same forwards and backwards. We study conditions that allow us to change the given presentation to obtain a palindromic presentation. We prove that if the knot group G admits a faithful discrete SL(2,ℂ)-representation then G admits a palindromic presentation.

Keywords : knot group; group presentation; hyperbolic groups; tunnel one knots; palindrome; bridges..

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