Massey products in Galois cohomology and Pythagorean fields

Claudio Quadrelli

doi:10.1080/00927872.2024.2346637

Massey products in Galois cohomology and Pythagorean fields

Claudio Quadrelli

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that a strengthened version of Minač–Tân’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 Minač–Tân’s Massey Vanishing Conjecture for Pythagorean fields with a finite number of square classes and their finite extensions.

Original language	English
Pages (from-to)	4399-4414
Number of pages	16
Journal	Communications in Algebra
Volume	52
Issue number	10
DOIs	https://doi.org/10.1080/00927872.2024.2346637
State	Published - 1 Jan 2024
Externally published	Yes

Keywords

Absolute Galois groups
Galois cohomology
Massey products
Pythagorean fields
elementary type conjecture

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2024.2346637

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AB - We prove that a strengthened version of Minač–Tân’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 Minač–Tân’s Massey Vanishing Conjecture for Pythagorean fields with a finite number of square classes and their finite extensions.

KW - Absolute Galois groups

KW - Galois cohomology

KW - Massey products

KW - Pythagorean fields

KW - elementary type conjecture

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Massey products in Galois cohomology and Pythagorean fields

Abstract

Keywords

ASJC Scopus subject areas

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