Affiliation:
1. Departamento de Matemática y Estadística Universidad de La Frontera Temuco Chile
Abstract
AbstractWe prove the existence of finite groups acting freely as orientation‐preserving homeomorphisms on closed orientable surfaces that extend as a group of homeomorphisms of some compact orientable 3‐manifold but that cannot extend to a handlebody. This solves a basic problem in low‐dimensional equivariant topology going back to the work of Reni and Zimmermann in the mid‐1990s.
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