On knot groups acting on trees

Fedor A. Dudkin; Andrey S. Mamontov

doi:10.1142/S0218216520500625

On knot groups acting on trees

Fedor A. Dudkin, Andrey S. Mamontov

Кафедра алгебры и математической логики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Номер статьи	2050062
Страницы (с-по)	2DUMNY
Число страниц	10
Журнал	Journal of Knot Theory and its Ramifications
Том	29
Номер выпуска	9
DOI	https://doi.org/10.1142/S0218216520500625
Состояние	Опубликовано - 1 авг 2020

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10.1142/S0218216520500625

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KW - group acting on a tree

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On knot groups acting on trees

Аннотация

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