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Hypermaps and multiply quasiplatonic Riemann surfaces

By Gareth A. Jones

Abstract

Generalising an example by Girondo and Wolfart, we use finite group theory to construct Riemann surfaces admitting two or more regular dessins (i.e. orientably regular hypermaps) with automorphism groups of the same order, and in many cases with isomorphic automorphism groups.Comment: 26 pages. Based on a talk given at the workshop `Groups and Languages' in honour of Antonio Machi, at the Universita di Roma `La Sapienza', September 201

Topics: Mathematics - Combinatorics, Mathematics - Group Theory, Primary 05C10, secondary 14H57, 20B25
Year: 2011
OAI identifier: oai:arXiv.org:1104.0713
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