Massey products and unipotent extensions with restricted ramification
Number Theory
2025-08-06 v1
Abstract
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 absolute Galois groups of local fields. As a consequence, these pro-p extensions satisfy the strong Massey vanishing property and thus admit large unipotent quotients.
Keywords
Cite
@article{arxiv.2508.03233,
title = {Massey products and unipotent extensions with restricted ramification},
author = {Oussama Hamza and Donghyeok Lim and Christian Maire},
journal= {arXiv preprint arXiv:2508.03233},
year = {2025}
}