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" A gentle course in local class field theory : "
Pierre Guillot.
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BL
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| Record Number
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839374
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| Main Entry
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Guillot, Pierre,1978-
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| Title & Author
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A gentle course in local class field theory : : local number fields, Brauer groups, Galois cohomology /\ Pierre Guillot.
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| Publication Statement
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Cambridge, United Kingdom ;New York, NY :: Cambridge University Press,, 2018.
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, ©2018
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| Page. NO
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1 online resource (xiv, 293 pages)
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| ISBN
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1108377750
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: 9781108377751
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9781108421775
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9781108432245
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Includes bibliographical references and index.
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| Abstract
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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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Brauer groups, Textbooks.
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Class field theory, Textbooks.
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Galois cohomology, Textbooks.
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Galois theory, Textbooks.
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Brauer groups.
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Class field theory.
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Galois cohomology.
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Galois theory.
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| Dewey Classification
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512.7/4
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| LC Classification
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QA247.G8287 2018
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