Local Class Field Theory
Download Local Class Field Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Local Class Field Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
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.
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.
Galois Cohomology and Class Field Theory
This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well as the Poitou-Tate duality theorems, considered crowning achievements of modern number theory. Assuming a first graduate course in algebra and number theory, the book begins with an introduction to group and Galois cohomology. Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields. The final part of the book gives an accessible yet complete exposition of the Poitou-Tate duality theorems. Two appendices cover the necessary background in homological algebra and the analytic theory of Dirichlet L-series, including the Čebotarev density theorem. Based on several advanced courses given by the author, this textbook has been written for graduate students. Including complete proofs and numerous exercises, the book will also appeal to more experienced mathematicians, either as a text to learn the subject or as a reference.