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Titlebook: Class Field Theory; -The Bonn Lectures- Jürgen Neukirch Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 algebraic number fields.class

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书目名称Class Field Theory
副标题-The Bonn Lectures-
编辑Jürgen Neukirch
视频video
概述Clear presentation.Quick and immediate access to the subject.A classic (established and prominent German original)
图书封面Titlebook: Class Field Theory; -The Bonn Lectures-  Jürgen Neukirch Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 algebraic number fields.class
描述The present manuscript is an improved edition of a text that first appeared under the same title in Bonner Mathematische Schriften, no.26, and originated from a series of lectures given by the author in 1965/66 in Wolfgang Krull‘s seminar in Bonn. Its main goal is to provide the reader, acquainted with the basics of algebraic number theory, a quick and immediate access to class field theory. This script consists of three parts, the first of which discusses the cohomology of finite groups. The second part discusses local class field theory, and the third part concerns the class field theory of finite algebraic number fields.
出版日期Textbook 2013
关键词algebraic number fields; class field theory; cohomology of finite groups
版次1
doihttps://doi.org/10.1007/978-3-642-35437-3
isbn_softcover978-3-642-35436-6
isbn_ebook978-3-642-35437-3
copyrightSpringer-Verlag Berlin Heidelberg 2013
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Jack Hirst,John Whipp,Roy Brookst on a vector space. The basic notion underlying all these examples is that of a .-module. We will now present some general considerations about .-modules, some of which the reader may already know from the theory of modules over general rings.
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https://doi.org/10.1007/978-3-030-66356-8We assume the reader is familiar with the basic concepts and theorems of algebraic number theory for which we refer to the standard text books, for example, [6], [21], [30]. Nevertheless, in this section we briefly summarize the for us most important facts.
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Part III Global Class Field Theory,We assume the reader is familiar with the basic concepts and theorems of algebraic number theory for which we refer to the standard text books, for example, [6], [21], [30]. Nevertheless, in this section we briefly summarize the for us most important facts.
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