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.
Massey products in Galois cohomology and Pythagorean fields
c. quadrelli
In corso di stampa
Abstract
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.
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