A Gentle Course in Local Class Field Theory : Local Number Fields, Brauer Groups, Galois Cohomology
Book Details
Format
Hardback or Cased Book
ISBN-10
1108421776
ISBN-13
9781108421775
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 1st, 2018
Print length
306 Pages
Weight
700 grams
Dimensions
25.00 x 17.90 x 2.40 cms
Product Classification:
Algebra
Ksh 14,200.00
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0 in stock
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This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. Written for beginning graduate students and advanced undergraduates, the material will find use across disciplines including number theory, representation theory, algebraic geometry, and algebraic topology.
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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