| Galois Cohomology 1997. Corr. 2nd Edition Contributor(s): Serre, Jean-Pierre (Author), Ion, P. (Translator) |
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ISBN: 3540421920 ISBN-13: 9783540421924 Publisher: Springer OUR PRICE: $75.99 Product Type: Hardcover Published: October 2001 Annotation: This is an updated English translation of "Cohomologie Galoisienne," published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Algebra - General |
| Dewey: 512.74 |
| LCCN: 2001049738 |
| Series: Eso Astrophysics Symposia |
| Physical Information: 0.69" H x 6.42" W x 9.52" (0.98 lbs) 212 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This volume is an English translation of "Cohomologie Galoisienne" . The original edition (Springer LN5, 1964) was based on the notes, written with the help of Michel Raynaud, of a course I gave at the College de France in 1962-1963. In the present edition there are numerous additions and one suppression: Verdier's text on the duality of profinite groups. The most important addition is the photographic reproduction of R. Steinberg's "Regular elements of semisimple algebraic groups", Publ. Math. LH.E.S., 1965. I am very grateful to him, and to LH.E.S., for having authorized this reproduction. Other additions include: - A proof of the Golod-Shafarevich inequality (Chap. I, App. 2). - The "resume de cours" of my 1991-1992 lectures at the College de France on Galois cohomology of k(T) (Chap. II, App.). - The "resume de cours" of my 1990-1991 lectures at the College de France on Galois cohomology of semisimple groups, and its relation with abelian cohomology, especially in dimension 3 (Chap. III, App. 2). The bibliography has been extended, open questions have been updated (as far as possible) and several exercises have been added. In order to facilitate references, the numbering of propositions, lemmas and theorems has been kept as in the original 1964 text. Jean-Pierre Serre Harvard, Fall 1996 Table of Contents Foreword ........................................................ V Chapter I. Cohomology of profinite groups 1. Profinite groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 . . . . . . . . . . . . . . |