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math.LO2024
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
NIPn CHIPS
Blaise Boissonneau
We give general conditions under which classes of valued fields have NIPn transfer and generalize the Anscombe-Jahnke classification of NIP henselian valued fields to NIPn henselia…