On exact sequences of Hochschild and Serre
ジャーナル
フリー
1955 年 7 巻 3 号 p. 312-321
詳細
- Published: 1955 Received: 1955/06/08 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
-
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Right : 1) G. Hochschild and J. -P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953), pp. 110-134.
2) See, S. Eilenberg and S. MacLane, Cohomology theory in abstract groups. I, Ann. of Math. 48, (1947), pp. 51-78, and G. Hochschild and J. -P. Serre, loc. cit. in 1).
3) See Appendix.
4) G. Hochschild and J. -P. Serre, loc. cit., Chap. III, §4, Theorem 2.
5) G. Hochschild and J. -P. Serre, loc. cit., Chap. III, 6, Theorem 3.
7) Chap. II, §3.
8) The homology and the cohomology theory can be built up based on a few fundamental properties of tensor product and the group of homomorphisms, as is shown e. g. in S. Eilenberg and N. Steenrod, Foundations of algebraic topology. Princeton University Press, 1952. Homg (B⊗η A, C)≅Homη (A, Homg (B, C)) is one of them, where A is an η-module, C a g-module and B a (g, η)-double module.
9) Z(g) is considered as a right g-module by the right multiplication.
10) Cf. S. Eilenberg and S. MacLane, On the groups H (II, n), I. Ann. of Math. 58 (1953), pp. 55-106, where the case of abelian groups is treated.
訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
PDFをダウンロード (264K)
メタデータをダウンロード
RIS形式
BIB TEX形式
テキスト
メタデータのダウンロード方法
発行機関連絡先
(EndNote、Reference Manager、ProCite、RefWorksとの互換性あり)
(BibDesk、LaTeXとの互換性あり)
記事の1ページ目
