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

By (author) Pierre Guillot

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normal price: R 1 815.95

Price: R 1 634.95


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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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Normally shipped | Available from overseas. Usually dispatched in 14 days
Publisher | Cambridge University Press
Published date | 1 Nov 2018
Language |
Format | Paperback / softback
Pages | 306
Dimensions | 247 x 174 x 16mm (L x W x H)
Weight | 530g
ISBN | 978-1-1084-3224-5
Readership Age |
BISAC | mathematics / number theory


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