FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 6, PAGES 137-148

**The computation of Belyi pairs of $6$-edged
dessins d'enfants of genus $3$ with
automorphism groups of order $12$ and
$3$**

B. S. Bychkov

V. A. Dremov

E. M. Epifanov

Abstract

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In this article, we study dessins d'enfants of genus three with six
edges and only one vertex, having group of automorphisms of order at
least three.
We find all such dessins and explain the method of the enumeration.
For each of them the Belyi pair is computed.

Location: http://mech.math.msu.su/~fpm/eng/k07/k076/k07607h.htm

Last modified: April 22, 2008