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On knot groups acting on trees. / Dudkin, Fedor A.; Mamontov, Andrey S.

In: Journal of Knot Theory and its Ramifications, Vol. 29, No. 9, 2050062, 01.08.2020, p. 2DUMNY.

Research output: Contribution to journal › Article › peer-review

Harvard

Dudkin, FA & Mamontov, AS 2020, 'On knot groups acting on trees', Journal of Knot Theory and its Ramifications, vol. 29, no. 9, 2050062, pp. 2DUMNY. https://doi.org/10.1142/S0218216520500625

APA

Dudkin, F. A., & Mamontov, A. S. (2020). On knot groups acting on trees. Journal of Knot Theory and its Ramifications, 29(9), 2DUMNY. [2050062]. https://doi.org/10.1142/S0218216520500625

Vancouver

Dudkin FA, Mamontov AS. On knot groups acting on trees. Journal of Knot Theory and its Ramifications. 2020 Aug 1;29(9):2DUMNY. 2050062. doi: 10.1142/S0218216520500625

Author

Dudkin, Fedor A. ; Mamontov, Andrey S. / On knot groups acting on trees. In: Journal of Knot Theory and its Ramifications. 2020 ; Vol. 29, No. 9. pp. 2DUMNY.

BibTeX

@article{cb33e97c25434ee6b30de0eb9c8c47c2,
title = "On knot groups acting on trees",
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.",
keywords = "generalized Baumslag-Solitar group, group acting on a tree, Knot group, torus knot group, BAUMSLAG-SOLITAR GROUPS",
author = "Dudkin, {Fedor A.} and Mamontov, {Andrey S.}",
year = "2020",
month = aug,
day = "1",
doi = "10.1142/S0218216520500625",
language = "English",
volume = "29",
pages = "2DUMNY",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "9",

}

RIS

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 -

ID: 25675171