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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Autor: Crespo Vicente, Teresa
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/190525
Acceso en línea:https://hdl.handle.net/2445/190525
Access Level:acceso abierto
Palabra clave:Àlgebres de Hopf
Teoria de Galois
Hopf algebras
Galois theory
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spelling Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left bracesCrespo Vicente, TeresaÀlgebres de HopfTeoria de GaloisHopf algebrasGalois theoryWe 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.Elsevier2022202320212022info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion27 p.application/pdfhttps://hdl.handle.net/2445/190525Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésVersió postprint del document publicat a: https://doi.org/10.1016/j.jalgebra.2020.09.005Journal of Algebra, 2021, vol. 565, p. 282-308https://doi.org/10.1016/j.jalgebra.2020.09.005(c) Elsevier, 2021info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1905252026-05-29T05:05:01Z
dc.title.none.fl_str_mv Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
title Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
spellingShingle Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
Crespo Vicente, Teresa
Àlgebres de Hopf
Teoria de Galois
Hopf algebras
Galois theory
title_short Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
title_full Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
title_fullStr Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
title_full_unstemmed Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
title_sort Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
dc.creator.none.fl_str_mv Crespo Vicente, Teresa
author Crespo Vicente, Teresa
author_facet Crespo Vicente, Teresa
author_role author
dc.subject.none.fl_str_mv Àlgebres de Hopf
Teoria de Galois
Hopf algebras
Galois theory
topic Àlgebres de Hopf
Teoria de Galois
Hopf algebras
Galois theory
description 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.
publishDate 2021
dc.date.none.fl_str_mv 2021
2022
2022
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/190525
url https://hdl.handle.net/2445/190525
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1016/j.jalgebra.2020.09.005
Journal of Algebra, 2021, vol. 565, p. 282-308
https://doi.org/10.1016/j.jalgebra.2020.09.005
dc.rights.none.fl_str_mv (c) Elsevier, 2021
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Elsevier, 2021
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 27 p.
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.81155

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