Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime square and classify the corresponding skew left braces. Besides we determine the separable field extensions of degree twice an odd prime square allowing a cyclic Hopf Galois structure and the number of t...
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/190525 |
| Acesso em linha: | https://hdl.handle.net/2445/190525 |
| Access Level: | acceso abierto |
| Palavra-chave: | Àlgebres de Hopf Teoria de Galois Hopf algebras Galois theory |
| Resumo: | We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime square and classify the corresponding skew left braces. Besides we determine the separable field extensions of degree twice an odd prime square allowing a cyclic Hopf Galois structure and the number of these structures. |
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