Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 29 No. 1 (2011): Revista Integración, temas de matemáticas
Research and Innovation Articles

Knot groups with two generators

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  • Christian Pommerenke,
  • Margarita Toro
Christian Pommerenke
Technische Universität Berlin, Institut fürMathematik, D-10623 Berlin, Germany
Bio
Margarita Toro
Universidad Nacional de Colombia, Escuela deMatemáticas, Medellín, Colombia
Bio

Published 2011-01-31

Keywords

  • knot group,
  • group presentation,
  • hyperbolic groups,
  • tunnel oneknots,
  • palindrome,
  • bridges
    • ...More
    Less

How to Cite

Pommerenke, C., & Toro, M. (2011). Knot groups with two generators. Revista Integración, Temas De matemáticas, 29(1), 1–14. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2407

Abstract

We study knot groups that admit a presentation with two generators and one relation. We say that a presentation a, b | r 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.

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