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ISBN: 9781470447526 Year: 2021 Publisher: Providence : American Mathematical Society,
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Hopf algebras --- Galois theory --- Hopf, Algèbres de. --- Galois, Théorie de.
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ISBN: 9781482245820 9781482245837 1482245825 1482245833 Year: 2015 Publisher: Boca Raton : CRC Press, Taylor & Francis Group,
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Galois theory --- Théorie de Galois --- Galois theory. --- Théorie de Galois --- Galois, Théorie de --- Ordered algebraic structures --- Galois, Théorie de.
ISBN: 9810245416 9789810245412 Year: 2001 Publisher: New Jersey : World Scientific,
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512.62 --- 512.62 Fields. Polynomials --- Fields. Polynomials --- Equations, Théorie des --- Equations, Theory of. --- Équations algébriques --- Galois, Théorie de --- Equations, Théorie des --- Théorie de Galois --- Equations, Theory of --- Galois theory --- Group theory --- Number theory --- Galois theory. --- Équations algébriques. --- Galois, Théorie de.
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ISBN: 9781108421775 1108421776 9781108432245 1108432247 9781108377751 Year: 2018 Publisher: Cambridge ; New York, NY : Cambridge University Press,
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Class field theory --- Brauer groups --- Galois theory --- Galois cohomology --- Brauer groups. --- Class field theory. --- Galois cohomology. --- Galois theory. --- Brauer-Gruppe --- Galois-Kohomologie --- Galois-Theorie --- Lokale Klasse --- Théorie du corps de classes --- Groupes de Brauer --- Théorie de Galois --- Cohomologie galoisienne
ISBN: 3540666710 Year: 2000 Volume: 323 Publisher: Berlin Heidelberg New York : Springer,
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Number theory --- Algebraic fields --- Algebraic numbers --- Algebraïsche velden --- Corps algébriques --- Fields [Algebraic ] --- Galois [Theorie de ] --- Galois [Theorie van ] --- Galois theory --- Homologie --- Homology theory --- Théorie de Galois --- Algebraic fields. --- Galois theory. --- Homology theory. --- Corps algébriques --- Théorie de Galois --- Nombres, Théorie des. --- Number theory. --- Cohomologie. --- Galois cohomology --- Cohomologie galoisienne. --- Nombres, Théories des --- Cohomologie --- Cohomologie galoisienne --- Nombres, Théorie des --- Nombres algébriques, Théorie des
ISBN: 1846281814 1852339861 Year: 2006 Publisher: London : Springer London : Imprint: Springer,
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The pioneering work of Abel and Galois in the early nineteenth century demonstrated that the long-standing quest for a solution of quintic equations by radicals was fruitless: no formula can be found. The techniques they used were, in the end, more important than the resolution of a somewhat esoteric problem, for they were the genesis of modern abstract algebra. This book provides a gentle introduction to Galois theory suitable for third- and fourth-year undergraduates and beginning graduates. The approach is unashamedly unhistorical: it uses the language and techniques of abstract algebra to express complex arguments in contemporary terms. Thus the insolubility of the quintic by radicals is linked to the fact that the alternating group of degree 5 is simple - which is assuredly not the way Galois would have expressed the connection. Topics covered include: rings and fields integral domains and polynomials field extensions and splitting fields applications to geometry finite fields the Galois group equations Group theory features in many of the arguments, and is fully explained in the text. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided.
Algebraic fields. --- Galois theory. --- Equations, Theory of --- Group theory --- Number theory --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- Algebra. --- Field theory (Physics). --- Field Theory and Polynomials. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Mathematics --- Mathematical analysis --- Galois-Theorie.
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ISBN: 9781470435400 1470435403 Year: 2019 Publisher: Providence, RI : American Mathematical Society,
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Algebraic number theory. --- Algebraic topology. --- Galois cohomology. --- Galois theory. --- Galois, Théorie de. --- Cohomologie galoisienne. --- Topologie algébrique. --- Nombres algébriques, Théorie des. --- Théorie algébrique des nombres --- Topologie algébrique --- Cohomologie galoisienne --- Théorie de Galois --- Tate, John Torrence, --- Algebraic number theory --- Algebraic topology --- Galois cohomology --- Galois theory --- Equations, Theory of --- Group theory --- Number theory --- Homology theory --- Topology --- Tate, J. --- Tate, J. T.
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