Equivalence and Strong Equivalence of Actions on Handlebodies

DOI10.2307/2001100zbMath0673.57033OpenAlexW4240593990MaRDI QIDQ3827260

Andy Miller, John Kalliongis

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001100

zbMATH Keywords

equivalencehandlebodiesstrong equivalencecyclic group actions of prime orderequivalence classes of involutionshandlebody orbifoldsorientation- preserving finite group actions on 3-dimensional handlebodiesorientation-preserving finite group actions on 3- dimensional

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) General low-dimensional topology (57M99) Finite transformation groups (57S17) Relations of low-dimensional topology with graph theory (57M15) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (9)

Free actions on handlebodies ⋮ Equivalence of cyclic $p$-squared actions on handlebodies ⋮ Involutions of nonirreducible 3-manifolds ⋮ Cyclic actions on compression bodies ⋮ Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k) ⋮ Structure of Whittaker groups and applications to conformal involutions on handlebodies ⋮ Cyclic p-group actions on ℝℙ3 ⋮ Generating functions for actions on handlebodies with genus zero quotient ⋮ Orientation-reversing free actions on handlebodies

Cites Work

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• The equivariant Dehn's lemma and loop theorem
• Endliche Gruppen von Abbildungsklassen gefaserter 3-Mannigfaltigkeiten
• Über Abbildungsklassen von Henkelkörpern
• Surface symmetry. I
• Abelian actions on 2-manifolds
• Cohomological topics in group theory.
• Homeomorphisms of 3-manifolds with compressible boundary
• Group Actions on Handlebodies
• The Nielsen realization problem

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