| 書目名稱 | Galois Cohomology | | 編輯 | Jean-Pierre Serre | | 視頻video | http://file.papertrans.cn/381/380414/380414.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 描述 | 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 pro | | 出版日期 | Book 1997 | | 關(guān)鍵詞 | algebra; algebraic geometry; group theory; number theory; algebraic group; algebraic number field; cohomol | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-59141-9 | | isbn_softcover | 978-3-642-63866-4 | | isbn_ebook | 978-3-642-59141-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 1997 |
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