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Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots
Published online by Cambridge University Press: 03 February 2015
Abstract
We consider the group of isotopy classes of automorphisms of the 3-sphere that preserve a spatial graph or a handlebody-knot embedded in it. We prove that the group is finitely presented for an arbitrary spatial graph or a reducible handlebody-knot of genus two. We also prove that the groups for “most” irreducible genus two handlebody-knots are finite.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 159 , Issue 1 , July 2015 , pp. 1 - 22
- Copyright
- Copyright © Cambridge Philosophical Society 2015
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