Galois Theory of p-Extensions / Edition 1

Galois Theory of p-Extensions / Edition 1

by F. Lemmermeyer, Helmut Koch
     
 

ISBN-10: 3642078176

ISBN-13: 9783642078170

Pub. Date: 12/03/2010

Publisher: Springer Berlin Heidelberg

Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references.

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Overview

Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references.

Product Details

ISBN-13:
9783642078170
Publisher:
Springer Berlin Heidelberg
Publication date:
12/03/2010
Series:
Springer Monographs in Mathematics Series
Edition description:
Softcover reprint of hardcover 1st ed. 2002
Pages:
191
Product dimensions:
0.44(w) x 9.21(h) x 6.14(d)

Table of Contents

1. Profinite Groups.- 2. Galois Theory of Infinite Algebraic Extensions.- 3. Cohomology of Profinite Groups.- 4. Free pro-p Groups.- 5. Cohomological Dimension.- 6. Presentation of pro-p Groups.- 7. Group Algebras of pro-p Groups.- 8. Results from Algebraic Number Theory.- 9. The Maximal p-Extension.- 10. Local Fields of Finite Type.- 11. Global Fields of Finite Type.- 12. On p-Class Groups and p-Class Field Towers.- 13. The Cohomological Dimension of GS.- References.- Notation.- Postscript.- Additional References.- Author Index.

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