2017/04/26 by Jesse Prince-Lubawy, Prince-Lubawy, Jesse
Mathematics · #57M60 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1704.08355
openalex publication_date 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we consider all orientation-preserving ℤp2-actions on 3-dimensional handlebodies Vg of genus g>0 for p an odd prime. To do so, we examine particular graphs of groups (Γ(v),G(v)) in canonical form for some 5-tuple v =(r,s,t,m,n) with r+s+t+m>0. These graphs of groups correspond to the handlebody orbifolds V(Γ(v),G(v)) that are homeomorphic to the quotient spaces Vg/ℤp2 of genus less than or equal to g. This algebraic characterization is used to enumerate the total number of ℤp2-actions on such handlebodies, up to equivalence.