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From Galois to Hopf Galois: theory and practice
dc.contributor.author | Crespo Vicente, Teresa |
dc.contributor.author | Río Doval, Ana |
dc.contributor.author | Vela del Olmo, Maria Montserrat |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2015-12-04T12:08:29Z |
dc.date.available | 2015-12-04T12:08:29Z |
dc.date.issued | 2015-09 |
dc.identifier.citation | Crespo, T., Rio, A., Vela, M. From Galois to Hopf Galois: theory and practice. "Contemporary mathematics", Setembre 2015, vol. 649, p. 29-46. |
dc.identifier.issn | 0271-4132 |
dc.identifier.uri | http://hdl.handle.net/2117/80188 |
dc.description.abstract | Hopf Galois theory expands the classical Galois theory by con- sidering the Galois property in terms of the action of the group algebra k [ G ] on K/k and then replacing it by the action of a Hopf algebra. We review the case of separable extensions where the Hopf Galois property admits a group-theoretical formulation suitable for counting and classifying, and also to perform explicit computations and explic it descriptions of all the ingredients involved in a Hopf Galois structure. At the end we give just a glimpse of how this theory is used in the context of Ga lois module theory for wildly ramified extensions |
dc.format.extent | 18 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
dc.subject.lcsh | Galois theory |
dc.title | From Galois to Hopf Galois: theory and practice |
dc.type | Article |
dc.subject.lemac | Galois, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres |
dc.identifier.doi | 10.1090/conm/649/13018 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::12 Field theory and polynomials::12F Field extensions |
dc.rights.access | Open Access |
local.identifier.drac | 16978396 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Crespo, T.; Rio, A.; Vela, M. |
local.citation.publicationName | Contemporary mathematics |
local.citation.volume | 649 |
local.citation.startingPage | 29 |
local.citation.endingPage | 46 |
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