2 papers
math.LO2025
Mekler's Construction and Murphy's Law for 2-Nilpotent Groups
Blaise Boissonneau, Aris Papadopoulos, Pierre Touchard
Mekler's construction is a powerful technique for building purely algebraic structures from combinatorial ones. Its power lies in the fact that it allows various model-theoretic ta…
math.LO2024
Generalised Indiscernibles, Dividing Lines, and Products of Structures
Nadav Meir, Aris Papadopoulos, Pierre Touchard
Generalised indiscernibles highlight a strong link between model theory and structural Ramsey theory. In this paper, we use generalised indiscernibles as tools to prove results in…