Genera of two-bridge knots and epimorphisms of their knot groups

Masaaki Suzuki, Anh T. Tran

Research output: Contribution to journalArticle

Abstract

Let K,K be two-bridge knots of genus k,k respectively. We show the necessary and sufficient condition of k in terms of k that there exists an epimorphism from the knot group of K onto that of K.

Original languageEnglish
Pages (from-to)66-72
Number of pages7
JournalTopology and its Applications
Volume242
DOIs
Publication statusPublished - 15 Jun 2018

Keywords

  • Epimorphism
  • Genus
  • Knot group
  • Two-bridge knot

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