A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology - Image 1

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

Name: A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology
Brand: Cambridge University Press
Price: 40.0 GBP
Availability: InStock

Algebra

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Description

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.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 1108432247
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 31 December 2018
Listed Since: 13 May 2018

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

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