Hypermaps and multiply quasiplatonic Riemann surfaces

Details Hypermaps and multiply quasiplatonic Riemann surfaces Hypermaps and multiply quasiplatonic Riemann surfaces

2011-04-04

arxiv.org/abs/1104.0713v1

Mathematics

Combinatorics

26 pages. Based on a talk given at the workshop `Groups and Languages' in honour of Antonio Machi, at the Universita di Roma `

Scientific paper

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.

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