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Unicellular dessins and a uniqueness theorem for Klein's Riemann surface of genus 3

By David Singerman

Abstract

If we consider the 14-sided hyperbolic polygon of Felix Klein that defines his famous surface of genus 3, we have a unifacial dessin whose automorphism group is transitive on the edges but not on the directed edges of the dessin. We show that Klein's surface is the unique platonic surface with this property

Topics: QA
Year: 2001
OAI identifier: oai:eprints.soton.ac.uk:29803
Provided by: e-Prints Soton
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