Central extensions, Galois groups, and ideal class groups of number fields / A. Fröhlich.

Format:

Book

Author/Creator:

Fröhlich, A. (Albrecht), 1916- author.

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 24

Contemporary mathematics, 0271-4132 ; 24

Language:

English

Subjects (All):

Class field theory.

Field extensions (Mathematics).

Galois theory.

Class groups (Mathematics).

Physical Description:

1 online resource (96 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1983]

Language Note:

English

Summary:

Deals with a set of interrelated problems and results in algebraic number theory. This work describes certain non-Abelian Galois groups over the rational field and their inertia subgroups, and uses this description to gain information on ideal class groups of absolutely Abelian fields, in entirely rational terms.

Contents:

Table of Contents

1. Background from Class Field Theory

2. The Genus Field and the Genus Group

3. Central Extensions

4. Maximal Quasi Central Extensions, Maximal L-Extensions and Maximal Class Two Extensions

5. More on Class Groups

6. Some Remarks on History and Literature

Literature.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7609-0