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arXiv · 1807.06275

On knot groups acting on trees

Fedor Dudkin·Andrey Mamontov
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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 1-knot group $G$ is $GBS$ group iff $G$ is a torus-knot group and describe all n-knot GBS groups for $n\geqslant 3$.

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Fedor Dudkin, Andrey Mamontov. 2018-07-17. On knot groups acting on trees. https://arxiv.org/abs/1807.06275

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