Fonctorialité d'une cohomologie non abélienne
Publications du Département de mathématiques (Lyon) (1993)
- Issue: 1, page 1-71
- ISSN: 0076-1656
Access Full Article
topHow to cite
topReferences
top- [1] E. Artin and J. Tate, Class field theory, W. A. Benjamin, Inc, New YorkAmsterdam (1967). Zbl0176.33504MR223335
- [2] R. Baer, Erweiterung von Gruppen und ihren Isomorphismen, Math. Zeit., 38, (1934), 375-416. Zbl60.0079.04MR1545456JFM60.0079.04
- [3] P. Dedecker, Sur la Cohomologie non abélienne I (dimension deux), Canad. J. Math., 12, (1960), 231-251. Zbl0109.15704MR111021
- P. DedeckerSur la Cohomologie non abélienne, II, Canad. J. Math., 15, (1963), 84-93. Zbl0112.37902MR143218
- [4] P. Dedecker et E.M. Luks, Sur la non-fonctorialité du H2 en cohomologi non abélienne, C.R. Acad. Sc. Paris, t 282, (1976), 139-141 et 183-185. Zbl0359.18017MR399215
- [5] S. Eilenberg and S. Mac Lane, Cohomology theory in abstract groups. I, Ann. of Math., 48, (1947), 51-78. Zbl0029.34001
- [6] S. Eilenberg and S. Mac Lane, Cohomology theory in abstract groups. IIGroup Extensions with a non-Abelian Kernel, Ann. of Math., 48, (1947), 326-341. Zbl0029.34101MR20996
- [7] S. Eilenberg and S. Mac Lane, Cohomology and Galois Theory. INormality of Algebras and Teichmüller's Cocycle, Trans. Amer. Math. Soc., 64, (1948), 1-20. Zbl0031.34301MR25443
- [8] J. Frenkel, Cohomologie non abélienne et espaces fibrés, Bull. Soc. Math. France, 85, (1957), 135-220. Zbl0082.37702MR98200
- [9] J. Giraud, Cohomologie non abélienne, Die Grundlehren der mathematischen Wissenschaften, 179, Springer-Verlag, Berlin, (1971). Zbl0226.14011MR344253
- [10] A. Grothendieck, A General Theory of Fibre Space With Structure SheafUniversity of Kansas, Report n° 4, Second Edition (1958).
- [11] D. Guin, Cohomologie et Homologie non abéliennes des groupes, J. Pure. Appl. Algebra., 50, (1988), 109-137. Zbl0653.20051MR938017
- [12] M. Hacque, Cohomologies des anneaux-groupes. Comm. in Algebra18, (1990), 3933-3997. Zbl0737.18006MR1068631
- [13] M. Hacque, Produits croisés mixtes : extensions de groupes et extensions d'anneaux, Comm. in Algebra, 19, (1991), 1993-2049. Zbl0804.16027MR1121119
- [14] M. Hacque, Extensions Q-normales, (en préparation).
- [15] M. Hacque, Les suites de Hochschild-Serre en cohomologie non abélienne (en préparation).
- [16] G. Hochschild and J. P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc., 74, (1953), 110-134. Zbl0050.02104MR52438
- [17] R. T. Hoobler, Non abelien sheaf cohomology by derived functors, Category theory, homology theory and their applications III. Lecture Notes in Mathematics., 99, Springer-Verlag, (1969). Zbl0204.23402MR248807