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Tópicos de álgebra linear explorados com o auxílio da teoria de Galois
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2016-05-10)
Let 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 ...
On a class of fields admitting only cyclic extensions of prime power degree
(1984)
We will give three characterizations of such fields and an application to quadratic forms in characteristic 2.
Extensões galoisianas: adentrando ao problema inverso de galois
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2015-11-20)
The objective of this paper is to present the Inverse Problem of Galois, which is to discover under what conditions we can determine a polynomial that has G as a Galois group. Therefore, the Galois Theory is addressed, if ...
Maximal cyclic subgroups of the groups of units of Galois rings: a computational approach
(Springer, 2017-09-01)
We present a computational approach based on algorithmic techniques to obtain maximal cyclic subgroups of the groups of units in Galois rings. The objective of this work was to provide an automated methodology to obtain ...
ALGUNOS ASPECTOS COHOMOLOGICOS DE LA TEORIA DE GALOIS
(Biblioteca Digital wdg.biblioUniversidad de Guadalajara, 2019-10-09)
El teorema fundamental de la teoría de Galois es una herramienta importante
que relaciona los campos intermedios de una extensión finita de Galois con los
subgrupos del grupo de Galois correspondiente a la extensión, además, ...
Extensión del cuerpo k en l, en grupos de galois a partir de un grupo finito
(Universidad Nacional Federico VillarrealPE, 2018-12-14)
La presente investigación tuvo como objetivo general probar la existencia de la extensión del cuerpo L/K tal que G es el grupo de Galois de L/K con G finito. El estudio fue de tipo Investigación Básica, pues se recopiló ...
Um normal estudo sobre a teoria de Galois
(Blumenau, SC., 2022)
Constructions and decoding of a sequence of BCH codes
(2012-01-01)
The BCH code C (respectively, C) of length n over a local ring Z pk (respectively, ℤp) is an ideal in the ring (Equation Presented) (respectively, (Equation Presented) which is generated by a monic polynomial that divides ...