39 citations · 71 across the 16 of their papers we have counts for
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math.GR2017
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…
math.NT2017
Julia Robinson's Numbers
Pierre Gillibert, Gabriele Ranieri
We partially answer to a question of Vidaux and Videla by constructing an infinite family of rings of algebraic integers of totally real subfields of Q whose Julia Robinson's Numbe…
math.AG2017
On the splitting of the Kummer exact sequence
Jean Gillibert, Pierre Gillibert
We prove the splitting of the Kummer exact sequence and related exact sequences in arithmetic geometry.