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Conformal automorphisms of countably connected regions

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

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DOI (Digital Object Identifier) Link: https://doi.org/10.1090/S1088-4173-2013-00253-1
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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.

Item Type: Journal Item
Copyright Holders: 2013 American Mathematical Society
ISSN: 1088-4173
Keywords: circular region; conformal automorphism; discrete; Fuchsian group; Möbius transformation.
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
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Item ID: 35820
Depositing User: Ian Short
Date Deposited: 14 Dec 2012 09:24
Last Modified: 08 Dec 2018 12:55
URI: http://oro.open.ac.uk/id/eprint/35820
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