Galois Theory of p-Extensions - Springer Monographs in Mathematics (Paperback)
  • Galois Theory of p-Extensions - Springer Monographs in Mathematics (Paperback)
zoom

Galois Theory of p-Extensions - Springer Monographs in Mathematics (Paperback)

(author), (translator)
£79.99
Paperback 191 Pages / Published: 04/12/2010
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket

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.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783642078170
Number of pages: 191
Weight: 326 g
Dimensions: 235 x 155 x 11 mm
Edition: Softcover reprint of hardcover 1st ed. 2002


MEDIA REVIEWS

From the reviews:

Most algebraic number theorists have had occasion to refer to Helmut Koch's Galloissche Theorie der p-Erweiterungen, first published some thirty years ago and still an essential reference on the subject of p-extensions (that is, Galois extensions whose Galois groups are p-groups) of algebraic number fields. But readers like myself have found ourselves hobbled by (a) the difficulty of finding a copy and (b) the inadequacy of our German reading skills.

No more. Thanks to Franz Lemmermeyer, here is Koch's Galois Theory of p-Extensions in English, supplemented by a "Postscript" that summarizes in a few pages what has happened since 1969. This new edition will keep Koch's work available for many years yet, and I'm sure many readers will be grateful that Springer has sprung for it.

"This book ... has been acclaimed as an excellent complement to J. P. Serre's `Cohomologie galoisienne'. ... The monograph is devoted to the Galois theory of p-extensions on the basis of cohomological techniques. ... this classic can be recommended to any reader interested in this field." (G. Kowol, Monatshefte fur Mathematik, Vol. 141 (2), 2004)

"This is an English translation (an excellent job by F. Lemmermeyer) of the German edition ... . Koch's clear and precise exposition may ... serve as an excellent guide to any newcomer. ... The goal is to compute the generators and relations of Gs, its cohomological dimension and to apply these results to the construction of infinite class field towers." (B. Kunyavskii, Zentralblatt MATH, Vol. 1023, 2003)

"First published in German in 1970 and translated into Russian in 1973, this classic now becomes available in English. ... The book demonstrates that the cohomology of groups is very useful for studying Galois theory of number fields; at the same time, it offers a down to earth introduction to the cohomological method." (L' Enseignement Mathematique, Vol. 48 (3-4), 2002)

You may also be interested in...

A Combinatorial Introduction to Topology
Added to basket
Knots
Added to basket
£16.95
Paperback
Schaums Outline of General Topology
Added to basket
Fractals: A Very Short Introduction
Added to basket
Knot Theory and Its Applications
Added to basket
The Poincare Conjecture
Added to basket
Algebraic Topology
Added to basket
£30.99
Paperback
Flatland
Added to basket
£9.99
Paperback
Riemann Surfaces
Added to basket
Essential Topology
Added to basket
Introduction to Topology
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.