Conformal automorphisms of countably connected regions

Short, Ian (2013). Conformal automorphisms of countably connected regions. Conformal Geometry and Dynamics, 17 pp. 1–5.

DOI: https://doi.org/10.1090/S1088-4173-2013-00253-1

Abstract

We prove that the conformal automorphism group of a countably connected circular region of connectivity at least three is either a Fuchsian group or a discrete elementary group of Moebius transformations.

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