Equivalence of ℤ4-actions on handlebodies of genus g
© 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.
Kyungpook Mathematical Journal
Prince-Lubawy, J. (2016). Equivalence of ℤ4-actions on handlebodies of genus g. Kyungpook Mathematical Journal. Retrieved from https://ir.una.edu/math_facpub/11