On knot groups acting on trees

Research output: Contribution to journalArticlepeer-review

Abstract

A finitely generated group G acting on a tree with infinite cyclic edge and vertex stabilizers is called a generalized Baumslag-Solitar group (GBS group). We prove that a one-knot group G is a GBS group if and only if G is a torus knot group, and describe all n-knot GBS groups for n ≥ 3.

Original languageEnglish
Article number2050062
Pages (from-to)2DUMNY
Number of pages10
JournalJournal of Knot Theory and its Ramifications
Volume29
Issue number9
DOIs
Publication statusPublished - 1 Aug 2020

Keywords

  • generalized Baumslag-Solitar group
  • group acting on a tree
  • Knot group
  • torus knot group
  • BAUMSLAG-SOLITAR GROUPS

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