23 citations · 79 across the 17 of their papers we have counts for
21 papers
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…
Homogeneous coherent configurations from spherical buildings and other edge-coloured graphs
Pierre Guillot
We study a class of edge-coloured graphs, including the chamber systems of buildings and other geometries such as affine planes, from which we build coherent configurations (also k…
Extensions of unipotent groups, Massey products and Galois cohomology
Pierre Guillot, Ján Mináč
We study the vanishing of four-fold Massey products in mod p Galois cohomology. First, we describe a sufficient condition, which is simply expressed by the vanishing of some cup-pr…
Four-fold Massey products in Galois cohomology
Pierre Guillot, Jan Minac, Adam Topaz +1
In this paper, we develop a new necessary and sufficient condition for the vanishing of 4-Massey products of elements in the mod-2 Galois cohomology of a field. This new descriptio…
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…
Cayley graphs and automatic sequences
Pierre Guillot
We study those automatic sequences which are produced by an automaton whose underlying graph is the Cayley graph of a finite group. For -automatic sequences, we find a character…