Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots

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8 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1-22
Number of pages22
JournalMathematical Proceedings of the Cambridge Philosophical Society
Issue number1
Publication statusPublished - 2015 Jul 26
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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