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Bulletin of the London Mathematical Society Advance Access published online on June 21, 2007
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdm035
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© 2007 London Mathematical Society

A note on the action of the absolute Galois group on dessins

Ernesto Girondo

Departamento de Matemáticas
Instituto de Matemáticas y Física Fundamental
Consejo Superior de Investigaciones Científicas
Serrano 121
28006 Madrid
Spain
Current address:
Departamento de Matemáticas
Universidad Autónoma de Madrid
Campus de Cantoblanco
28049 Madrid, Spain
ernesto.girondo{at}uam.es

Gabino González-Diez

Departamento de Matemáticas
Universidad Autónoma de Madrid
Campus de Cantoblanco
28049 Madrid, Spain
gabino.gonzalez{at}uam.es

Received 20 June 2005.

We show that the action of the absolute Galois group on dessins d’enfants of given genus g is faithful, a result that had been previously established for g = 0 and g = 1.

2000 Mathematics Subject Classification 14H55 (primary), 11R32 (secondary).

Both authors were supported by MCyT, research project BFM2003-04964.


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