Massey products in Galois cohomology and Pythagorean fields
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910344842051584 |
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| author | Quadrelli, Claudio |
| author_facet | Quadrelli, Claudio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07967 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Massey products in Galois cohomology and Pythagorean fields Quadrelli, Claudio Number Theory Group Theory Primary 12G05, Secondary 20E18, 20J06, 12F10 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. |
| title | Massey products in Galois cohomology and Pythagorean fields |
| topic | Number Theory Group Theory Primary 12G05, Secondary 20E18, 20J06, 12F10 |
| url | https://arxiv.org/abs/2312.07967 |