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Notes on Maskit's planarity theorem
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Bowditch, B. H. (2022) Notes on Maskit's planarity theorem. L'Enseignement Mathematique, 68 (1/2). pp. 1-24. doi:10.4171/LEM/1019 ISSN 0013-8584.
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Official URL: https://doi.org/10.4171/LEM/1019
Abstract
We give an account of the Planarity Theorem of Maskit. This gives a classification of finitely generated groups acting effectively properly discontinuously by orientation-preserving homeomorphisms on a planar surface. One can also realise such groups as Kleinian function groups. We also explain how one can give another proof of the planarity theorem using Dunwoody’s theory of tracks.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Surfaces, Homeomorphisms, Riemann surfaces, Möbius transformations, Cayley graphs | ||||||||
Journal or Publication Title: | L'Enseignement Mathematique | ||||||||
Publisher: | EMS Press | ||||||||
ISSN: | 0013-8584 | ||||||||
Official Date: | 13 April 2022 | ||||||||
Dates: |
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Volume: | 68 | ||||||||
Number: | 1/2 | ||||||||
Page Range: | pp. 1-24 | ||||||||
DOI: | 10.4171/LEM/1019 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | © 2022 EMS Publishing House. All rights reserved. | ||||||||
Date of first compliant deposit: | 28 May 2021 | ||||||||
Date of first compliant Open Access: | 6 May 2022 | ||||||||
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