Notes on Maskit’s Planarity Theorem

  • Brian H. Bowditch

    University of Warwick, Coventry, UK
Notes on Maskit’s Planarity Theorem cover

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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.

Cite this article

Brian H. Bowditch, Notes on Maskit’s Planarity Theorem. Enseign. Math. 68 (2022), no. 1/2, pp. 1–24

DOI 10.4171/LEM/1019