Logo

Class Field Theory by J. S. Milne

Small book cover: Class Field Theory

Class Field Theory
by


Number of pages: 287

Description:
Class field theory describes the abelian extensions of a local or global field in terms of the arithmetic of the field itself. These notes contain an exposition of abelian class field theory using the algebraic/cohomological approach of Chevalley and Artin and Tate.

Home page url

Download or read it online for free here:
Download link
(1.7MB, PDF)

Similar books

Book cover: Generic Polynomials: Constructive Aspects of the Inverse Galois ProblemGeneric Polynomials: Constructive Aspects of the Inverse Galois Problem
by - Cambridge University Press
A clearly written book, which uses exclusively algebraic language (and no cohomology), and which will be useful for every algebraist or number theorist. It is easily accessible and suitable also for first-year graduate students.
(10651 views)
Book cover: Algebraic EquationsAlgebraic Equations
by - Cambridge University Press
This book is intended to give an account of the theory of equations according to the ideas of Galois. This method analyzes, so far as exact algebraical processes permit, the set of roots possessed by any given numerical equation.
(5732 views)
Book cover: Lectures on Field Theory and Ramification TheoryLectures on Field Theory and Ramification Theory
by - Indian Institute of Technology, Bombay
These are notes of a series of lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.
(5770 views)
Book cover: The Elements of the Theory of Algebraic NumbersThe Elements of the Theory of Algebraic Numbers
by - The Macmillan company
It has been my endeavor in this book to lead by easy stages a reader, entirely unacquainted with the subject, to an appreciation of some of the fundamental conceptions in the general theory of algebraic numbers. Many numerical examples are given.
(5345 views)