23 citations · 79 across the 17 of their papers we have counts for
4 papers · 1 filter
The binary actions of alternating groups
Nick Gill, Pierre Guillot
Given a conjugacy class in a group we define a new graph, , whose vertices are elements of ; two vertices are co…
The Grothendieck-Teichmüller group of
Pierre Guillot
We show that the Grothendieck-Teichmüller group of , or more precisely the group as previously defined by the author, is the product of an elementary a…
The Grothendieck-Teichmüller group of a finite group and -dessins d'enfants
Pierre Guillot
For each finite group G, we define the Grothendieck-Teichmüller group of G, denoted GT(G), and explore its properties. The theory of dessins d'enfants shows that the inverse limit…
An elementary approach to dessins d'enfants and the Grothendieck-Teichmüller group
Pierre Guillot
We give an account of the theory of dessins d'enfants which is both elementary and self-contained. We describe the equivalence of many categories (graphs embedded nicely on surface…