A note on the action of the absolute Galois group on dessins. (English) Zbl 1142.14020
It is well known that the absolute Galois group acts faithfully on the set of all dessins d’enfants in genus 1 and genus 2. The authors give a clever argument showing that this action is faithful also in higher genera.
Reviewer: Jürgen Wolfart (Frankfurt/Main)
MSC:
14H55 | Riemann surfaces; Weierstrass points; gap sequences |
11R32 | Galois theory |
30F10 | Compact Riemann surfaces and uniformization |