Hypermaps and multiply quasiplatonic Riemann surfaces
Combinatorics
2011-04-06 v1 Group Theory
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.
Cite
@article{arxiv.1104.0713,
title = {Hypermaps and multiply quasiplatonic Riemann surfaces},
author = {Gareth A. Jones},
journal= {arXiv preprint arXiv:1104.0713},
year = {2011}
}
Comments
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 2010