عنوان

A gentle course in local class field theory :

(Number (ISBN

1108377750

(Number (ISBN

9781108377751

Erroneous ISBN

9781108421775

Erroneous ISBN

9781108432245

Title Proper

A gentle course in local class field theory :

General Material Designation

[Book]

Other Title Information

local number fields, Brauer groups, Galois cohomology /

First Statement of Responsibility

Pierre Guillot.

Place of Publication, Distribution, etc.

New York, NY :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2018.

Date of Publication, Distribution, etc.

©2018

Specific Material Designation and Extent of Item

1 online resource (xiv, 293 pages)

Text of Note

Includes bibliographical references and index.

Text of Note

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.

International Standard Book Number

9781108421775

Brauer groups, Textbooks.

Class field theory, Textbooks.

Galois cohomology, Textbooks.

Galois theory, Textbooks.

Brauer groups.

Class field theory.

Galois cohomology.

Galois theory.

Number

Edition

Class number

Book number

Guillot, Pierre,1978-

Date of Transaction

20200822150725.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y