On knot groups acting on trees Full article
| Journal |
Journal of Knot Theory and its Ramifications
ISSN: 0218-2165 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2020, Volume: 29, Number: 09, Article number : 2050062, Pages count : DOI: 10.1142/S0218216520500625 | ||||
| Tags | Knot group, generalized Baumslag–Solitar group, group acting on a tree, torus knot group | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | 0314-2019-0001 |
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.
Cite:
Dudkin F.A.
, Mamontov A.S.
On knot groups acting on trees
Journal of Knot Theory and its Ramifications. 2020. V.29. N09. 2050062 . DOI: 10.1142/S0218216520500625 WOS Scopus РИНЦ OpenAlex
On knot groups acting on trees
Journal of Knot Theory and its Ramifications. 2020. V.29. N09. 2050062 . DOI: 10.1142/S0218216520500625 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jan 9, 2019 |
| Accepted: | Jun 18, 2020 |
| Published print: | Jul 30, 2020 |
Identifiers:
| Web of science: | WOS:000575412300002 |
| Scopus: | 2-s2.0-85092200906 |
| Elibrary: | 45242760 |
| OpenAlex: | W3038447061 |