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