Tópicos de álgebra linear explorados com o auxílio da teoria de Galois

dc.contributorBagio, Dirceu
dc.contributorhttp://lattes.cnpq.br/6329859285657492
dc.contributorTamusiunas, Thaisa Raupp
dc.contributorMachado, Gustavo Grings
dc.creatorPiotsckowski, Mônica
dc.date.accessioned2023-03-14T14:37:57Z
dc.date.accessioned2023-09-04T19:40:43Z
dc.date.available2023-03-14T14:37:57Z
dc.date.available2023-09-04T19:40:43Z
dc.date.created2023-03-14T14:37:57Z
dc.date.issued2016-05-10
dc.identifierhttp://repositorio.ufsm.br/handle/1/28184
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8627269
dc.description.abstractLet L=K be a nite Galois extension. In this work, we explore the K-vector space Alt(L) of alternating bilinear forms over L. In particular, we present a decomposition of Alt(L) in direct sum. Also, we study the structure of Alt(L) in the case of cyclic Galois extension L=K. Another aspect of linear algebra that is explored in this dissertation are the K-endomorphisms over L with rank 1, that is, the K-hyperplanes of L.
dc.publisherUniversidade Federal de Santa Maria
dc.publisherBrasil
dc.publisherMatemática
dc.publisherUFSM
dc.publisherPrograma de Pós-Graduação em Matemática
dc.publisherCentro de Ciências Naturais e Exatas
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.subjectExtensões de Galois
dc.subjectGrupo de Galois
dc.subjectFormas bilineares alternadas
dc.subjectPosto
dc.subjectExtensões cíclicas
dc.subjectEndomor smos
dc.subjectHiperplanos
dc.subjectTraço Galois
dc.subjectGalois extensions
dc.subjectGalois group
dc.subjectAlternating bilinear forms
dc.subjectRank, cyclic extension
dc.subjectEndomorphisms
dc.subjectHyperplane
dc.subjectGalois trace
dc.titleTópicos de álgebra linear explorados com o auxílio da teoria de Galois
dc.typeDissertação


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