| 書目名稱 | Cohomology of Finite Groups |
| 編輯 | Alejandro Adem,R. James Milgram |
| 視頻video | http://file.papertrans.cn/230/229261/229261.mp4 |
| 概述 | Includes supplementary material: |
| 叢書名稱 | Grundlehren der mathematischen Wissenschaften |
| 圖書封面 |  |
| 描述 | Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo- logical algebra and algebraic K-theory. It arose primarily in the 1920‘s and 1930‘s independently in number theory and topology. In topology the main focus was on the work ofH. Hopf, but B. Eckmann, S. Eilenberg, and S. MacLane (among others) made significant contributions. The main thrust of the early work here was to try to understand the meanings of the low dimensional homology groups of a space X. For example, if the universal cover of X was three connected, it was known that H2(X; A. ) depends only on the fundamental group of X. Group cohomology initially appeared to explain this dependence. In number theory, group cohomology arose as a natural device for describing the main theorems of class field theory and, in particular, for describing and analyzing the Brauer group of a field. It also arose naturally in the study of group extensions, N |
| 出版日期 | Book 2004Latest edition |
| 關鍵詞 | Algebraic K-theory; Algebraic topology; Cohomology; K-theory; algebra; classifying spaces; cohomology of g |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-662-06280-7 |
| isbn_softcover | 978-3-642-05785-4 |
| isbn_ebook | 978-3-662-06280-7Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | Springer-Verlag Berlin Heidelberg 2004 |
|Archiver|手機版|小黑屋|
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