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arXiv · 2508.03233

Massey products and unipotent extensions with restricted ramification

Oussama Hamza·Donghyeok Lim·Christian Maire
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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.

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Oussama Hamza, Donghyeok Lim, Christian Maire. 2025-08-05. Massey products and unipotent extensions with restricted ramification. https://arxiv.org/abs/2508.03233

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