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Extending finite free actions of surfaces

2023/10/27 by Rubén A. Hidalgo, Hidalgo, Rubén A.
Computer Science · Mathematics · #57M10 #57M60 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2310.18124

openalex publication_date 2023/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the existence of finite groups of orientation-preserving homeomorphisms of some closed orientable surface S that act freely and which extends as a group of homeomorphisms of some compact orientable 3-manifold with boundary S, but which cannot extend to a handlebody.

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