A gentle course in local class field theory : local number fields, Brauer groups, Galois cohomology / Pierre Guillot.
Material type:
TextPublisher: Cambridge : Cambridge University Press, 2018Description: 1 online resource (xiv, 293 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781108377751 (ebook)Subject(s): Class field theory -- Textbooks | Brauer groups -- Textbooks | Galois theory -- Textbooks | Galois cohomology -- TextbooksAdditional physical formats: Print version: : No titleDDC classification: 512.7/4 LOC classification: QA247 | .G8287 2018Online resources: Click here to access online Summary: 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
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Ebooks
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Mysore University Main Library | Not for loan | EBCU524 |
Title from publisher's bibliographic system (viewed on 29 Oct 2018).
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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