On the Sylow Theorem for Skew Braces
Fuente:
arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910150634242048 |
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| author | Caranti, A. Del Corso, I. Di Matteo, M. Ferrara, M. Trombetti, M. |
| author_facet | Caranti, A. Del Corso, I. Di Matteo, M. Ferrara, M. Trombetti, M. |
| contents | We discuss the (first) Sylow theorem for certain classes of finite skew braces, proving it to hold true when the skew brace is two-sided, bi-skew, right nilpotent, $λ$-homomorphic or supersoluble. We also show it to hold true for soluble skew braces that are left-nilpotent, and address a number of more specialized settings, proving general Hall-type theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00940 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Sylow Theorem for Skew Braces Caranti, A. Del Corso, I. Di Matteo, M. Ferrara, M. Trombetti, M. Rings and Algebras Group Theory 16T25 20D20 We discuss the (first) Sylow theorem for certain classes of finite skew braces, proving it to hold true when the skew brace is two-sided, bi-skew, right nilpotent, $λ$-homomorphic or supersoluble. We also show it to hold true for soluble skew braces that are left-nilpotent, and address a number of more specialized settings, proving general Hall-type theorems. |
| title | On the Sylow Theorem for Skew Braces |
| topic | Rings and Algebras Group Theory 16T25 20D20 |
| url | https://arxiv.org/abs/2506.00940 |