Claudio Quadrelli
Published 2023-12-13Version 1
We prove that a strengthened version of Minac-Tan's Massey Vanishing Conjecture holds true for fields with a finite number of square classes whose maximal pro-$2$ Galois group is of elementary type (as defined by I. Efrat). In particular, this proves Minac-Tan's Massey Vanishing Conjecture for Pythagorean fields with a finite number of square classes and their finite extensions.
Comments: 19 pages. arXiv admin note: text overlap with arXiv:2203.16232
Massey products in Galois cohomology and the Elementary Type Conjecture
3-fold Massey products in Galois cohomology -- The non-prime case
Two families of pro-p groups that are not absolute Galois groups
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