Year: 2025
Type: article
Abstract: Let be a prime number, let be a profinite group, let be a continuous character, and for all write for the twist of by the ‐action. Suppose that satisfies a formal version of Hilbert's Theorem 90: for all open subgroups and every , the map is surjective. We show that the Massey Vanishing Conjecture for triple Massey products and some degenerate fourfold Massey products holds for . A key step in our proof is the construction of a Hilbert 90 module for : a discrete ‐module that plays the role of the Galois module for the absolute Galois group of a field of characteristic different from .
DOI: 10.1112/plms.70036
Authors: Alexander Merkurjev, Federico Scavia
Institution: University of California, Los Angeles
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4408545674