39 citations · 71 across the 16 of their papers we have counts for
19 papers
Galois covers of and number fields with large class groups
Jean Gillibert, Pierre Gillibert
For each finite subgroup of , and for each integer coprime to , we construct explicitly infinitely many Galois extensions of with group $…
The VC-Dimension of Axis-Parallel Boxes on the Torus
Pierre Gillibert, Thomas Lachmann, Clemens Müllner
We show in this paper that the VC-dimension of the family of -dimensional axis-parallel boxes and cubes on the -dimensional torus are both asymptotically . This…
When symmetries are not enough: a hierarchy of hard Constraint Satisfaction Problems
Pierre Gillibert, Julius Jonušas, Michael Kompatscher +2
We produce a class of -categorical structures with finite signature by applying a model-theoretic construction -- a refinement of the Hrushosvki-encoding -- to -categorical s…
Pseudo-loop conditions
Pierre Gillibert, Julius Jonušas, Michael Pinsker
We initiate the systematic study of loop conditions of arbitrary finite width. Each loop condition is a finite set of identities of a particular shape, and satisfaction of these id…
Selmer groups are intersection of two direct summands of the adelic cohomology
Florence Gillibert, Jean Gillibert, Pierre Gillibert +1
We give a positive answer to a Conjecture by Manjul Bhargava, Daniel M. Kane, Hendrik W. Lenstra Jr., Bjorn Poonen and Eric Rains, concerning the cohomology of torsion subgroups of…
An automaton group with undecidable order and Engel problems
Pierre Gillibert
For every Turing machine, we construct an automaton group that simulates it. Precisely, starting from an initial configuration of the Turing machine, we explicitly construct an ele…