TY - JOUR

T1 - On knot groups acting on trees

AU - Dudkin, Fedor A.

AU - Mamontov, Andrey S.

PY - 2020/8/1

Y1 - 2020/8/1

N2 - 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.

AB - 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.

KW - generalized Baumslag-Solitar group

KW - group acting on a tree

KW - Knot group

KW - torus knot group

KW - BAUMSLAG-SOLITAR GROUPS

UR - http://www.scopus.com/inward/record.url?scp=85092200906&partnerID=8YFLogxK

U2 - 10.1142/S0218216520500625

DO - 10.1142/S0218216520500625

M3 - Article

AN - SCOPUS:85092200906

VL - 29

SP - 2DUMNY

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 9

M1 - 2050062

ER -