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The invariant fields of the Sylow groups of classical groups in the natural characteristic

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dc.contributor.authorFerreira, Jorge N. M.
dc.contributor.authorFleischmann, Peter
dc.date.accessioned2023-02-13T15:50:12Z
dc.date.available2023-02-13T15:50:12Z
dc.date.issued2016
dc.description.abstractLet X be any finite classical group defined over a finite field of characteristic p > 0. In this article, we determine the fields of rational invariants for the Sylow p-subgroups of X, acting on the natural module. In particular, we prove that these fields are generated by orbit products of variables and certain invariant polynomials which are images under Steenrod operations, applied to the respective invariant linear forms defining X.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationJorge N. M. Ferreira & Peter Fleischmann (2016) The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic, Communications in Algebra, 44:3, 977-1010, DOI: 10.1080/00927872.2014.999922pt_PT
dc.identifier.doi10.1080/00927872.2014.999922pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.13/5032
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherTaylor and Francis Grouppt_PT
dc.relationMODULAR INVARIANT THEORY OF FINITE UNITARY GROUPS
dc.relation.publisherversionhttps://doi.org/10.1080/00927872.2014.999922pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectFinite classical groupspt_PT
dc.subjectInvariant fieldspt_PT
dc.subjectModular invariant theorypt_PT
dc.subjectSylow groupspt_PT
dc.subject.pt_PT
dc.subjectFaculdade de Ciências Exatas e da Engenhariapt_PT
dc.titleThe invariant fields of the Sylow groups of classical groups in the natural characteristicpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleMODULAR INVARIANT THEORY OF FINITE UNITARY GROUPS
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/FARH/SFRH%2FBD%2F30132%2F2006/PT
oaire.citation.endPage1010pt_PT
oaire.citation.issue3pt_PT
oaire.citation.startPage977pt_PT
oaire.citation.titleCommunications in Algebrapt_PT
oaire.citation.volume44pt_PT
oaire.fundingStreamFARH
person.familyNameMarques Ferreira
person.givenNameJorge Nélio
person.identifier.orcid0000-0003-1364-5791
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication.latestForDiscoveryb136ee8d-f897-4ac6-a748-1fe2606bbbbf
relation.isProjectOfPublication29388e5c-0d01-4e9b-ac67-3a1268e838d6
relation.isProjectOfPublication.latestForDiscovery29388e5c-0d01-4e9b-ac67-3a1268e838d6

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