Title

Equivalence of ℤ4-actions on handlebodies of genus g

Document Type

Article

Publication Date

1-1-2016

Abstract

© Kyungpook Mathematical Journal. In this paper we consider all orientation-preserving ℤ4-actions on 3- dimensional handlebodies Vg of genus g > 0. We study the graph of groups (Γ(v);G(v)), which determines a handlebody orbifold V (Γ(v);G(v)) ≃ Vg/ℤ4. This algebraic characterization is used to enumerate the total number of ℤ4 group actions on such handlebodies, up to equivalence.

Publication Title

Kyungpook Mathematical Journal

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