A Gentle Course In Local Class Field Theory
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A Gentle Course in Local Class Field Theory
Author: Pierre Guillot
language: en
Publisher: Cambridge University Press
Release Date: 2018-11
A self-contained exposition of local class field theory for students in advanced algebra.
A Gentle Course in Local Class Field Theory
Author: Pierre Guillot
language: en
Publisher: Cambridge University Press
Release Date: 2018-11-01
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.
Local Class Field Theory
Author: Kenkichi Iwasawa
language: en
Publisher: Oxford University Press, USA
Release Date: 1986
This readable introduction to local class field theory, a theory of algebraic extensions, covers such topics as abelian extensions. Almost self-contained, the book is accessible to any reader with a basic background in algebra and topological groups.