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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Detalles Bibliográficos
Autor: Crespo Vicente, Teresa
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu: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.Elsevier2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/190525Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió 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:diposit.ub.edu:2445/1905252026-05-27T06:46:51Z
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
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 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:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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