Massey products and unipotent extensions with restricted ramification
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908479229263872 |
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| author | Hamza, Oussama Lim, Donghyeok Maire, Christian |
| author_facet | Hamza, Oussama Lim, Donghyeok Maire, Christian |
| contents | We fix a prime p and construct new cases of pro-p extensions of number fields with restricted ramification and splitting, whose Galois groups decompose as coproducts of pro-p absolute Galois groups of local fields. As a consequence, these pro-p extensions satisfy the strong Massey vanishing property and thus admit large unipotent quotients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03233 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Massey products and unipotent extensions with restricted ramification Hamza, Oussama Lim, Donghyeok Maire, Christian Number Theory We fix a prime p and construct new cases of pro-p extensions of number fields with restricted ramification and splitting, whose Galois groups decompose as coproducts of pro-p absolute Galois groups of local fields. As a consequence, these pro-p extensions satisfy the strong Massey vanishing property and thus admit large unipotent quotients. |
| title | Massey products and unipotent extensions with restricted ramification |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.03233 |