On a Cauchy theorem for finite skew braces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917294795390976 |
|---|---|
| author | Damele, Marco Calabuig, Vicent Pérez |
| author_facet | Damele, Marco Calabuig, Vicent Pérez |
| contents | One of the major problems in the structural theory of skew braces consists in the classification of skew braces of finite order up to isomorphism. In this light, the open question of the existence of a Cauchy theorem for finite skew braces is of great interest. We prove a positive answer for the classes of finite two-sided skew braces and bi-skew braces. Consequences and related structural results are also outlined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22080 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a Cauchy theorem for finite skew braces Damele, Marco Calabuig, Vicent Pérez Group Theory One of the major problems in the structural theory of skew braces consists in the classification of skew braces of finite order up to isomorphism. In this light, the open question of the existence of a Cauchy theorem for finite skew braces is of great interest. We prove a positive answer for the classes of finite two-sided skew braces and bi-skew braces. Consequences and related structural results are also outlined. |
| title | On a Cauchy theorem for finite skew braces |
| topic | Group Theory |
| url | https://arxiv.org/abs/2602.22080 |