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math.NT2025
Massey products and unipotent extensions with restricted ramification
Oussama Hamza, Donghyeok Lim, Christian Maire
We fix a prime p and construct new cases of pro-p extensions of number fields with restricted ramification and splitting, whose Galois groups decompose as coproducts of pro-p absol…
math.NT2020
A note on asymptotically good extensions in which infinitely many primes split completely
Oussama Hamza, Christian Maire
Let p be a prime number, and let K be a number field. For p=2, assume moreover K totally imaginary. In this note we prove the existence of asymptotically good extensions L{K of coh…