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http://dx.doi.org/10.5666/KMJ.2016.56.2.577

Equivalence of ℤ4-actions on Handlebodies of Genus g  

Prince-Lubawy, Jesse (Department of Mathematics, University of North Alabama)
Publication Information
Kyungpook Mathematical Journal / v.56, no.2, 2016 , pp. 577-582 More about this Journal
Abstract
In this paper we consider all orientation-preserving ${\mathbb{Z}}_4$-actions on 3-dimensional handlebodies $V_g$ of genus g > 0. We study the graph of groups (${\Gamma}(v)$, G(v)), which determines a handlebody orbifold $V({\Gamma}(v),G(v)){\simeq}V_g/{\mathbb{Z}}_4$. This algebraic characterization is used to enumerate the total number of ${\mathbb{Z}}_4$ group actions on such handlebodies, up to equivalence.
Keywords
handlebodies; orbifolds; graph of groups; orientation-preserving; cyclic actions;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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