A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology - Tapa dura

Guillot, Pierre

 
9781108421775: A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology
Tapa dura
ISBN 10: 1108421776 ISBN 13: 9781108421775
Editorial: Cambridge University Press, 2018

Sinopsis

This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well as the celebrated Kronecker–Weber theory, in both the local and global cases. The material will find use across disciplines, including number theory, representation theory, algebraic geometry, and algebraic topology. Written for beginning graduate students and advanced undergraduates, this book can be used in the classroom or for independent study.

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Acerca del autor

Pierre Guillot is a lecturer at the Université de Strasbourg and a researcher at the Institut de Recherche Mathématique Avancée (IRMA). He has authored numerous research papers in the areas of algebraic geometry, algebraic topology, quantum algebra, knot theory, combinatorics, the theory of Grothendieck's dessins d'enfants, and Galois cohomology.

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Editorial
Cambridge University Press
Año de publicación
2018
Idioma
Inglés
ISBN 10 
1108421776
ISBN 13 
9781108421775
Encuadernación
Tapa dura
Número de páginas
308
Contacto del fabricante
Cambridge University Press
https://www.cambridge.org/

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Otras ediciones populares con el mismo título

9781108432245: A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology

Edición Destacada

ISBN 10:  1108432247 ISBN 13:  9781108432245
Editorial: Cambridge University Press, 2018
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