Fonctorialité d'une cohomologie non abélienne

Michel Hacque

Publications du Département de mathématiques (Lyon) (1993)

  • Issue: 1, page 1-71
  • ISSN: 0076-1656

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Hacque, Michel. "Fonctorialité d'une cohomologie non abélienne." Publications du Département de mathématiques (Lyon) (1993): 1-71. <http://eudml.org/doc/274259>.

@article{Hacque1993,
author = {Hacque, Michel},
journal = {Publications du Département de mathématiques (Lyon)},
language = {fre},
number = {1},
pages = {1-71},
publisher = {Université Claude Bernard - Lyon 1},
title = {Fonctorialité d'une cohomologie non abélienne},
url = {http://eudml.org/doc/274259},
year = {1993},
}

TY - JOUR
AU - Hacque, Michel
TI - Fonctorialité d'une cohomologie non abélienne
JO - Publications du Département de mathématiques (Lyon)
PY - 1993
PB - Université Claude Bernard - Lyon 1
IS - 1
SP - 1
EP - 71
LA - fre
UR - http://eudml.org/doc/274259
ER -

References

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  2. [2] R. Baer, Erweiterung von Gruppen und ihren Isomorphismen, Math. Zeit., 38, (1934), 375-416. Zbl60.0079.04MR1545456JFM60.0079.04
  3. [3] P. Dedecker, Sur la Cohomologie non abélienne I (dimension deux), Canad. J. Math., 12, (1960), 231-251. Zbl0109.15704MR111021
  4. P. DedeckerSur la Cohomologie non abélienne, II, Canad. J. Math., 15, (1963), 84-93. Zbl0112.37902MR143218
  5. [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
  6. [5] S. Eilenberg and S. Mac Lane, Cohomology theory in abstract groups. I, Ann. of Math., 48, (1947), 51-78. Zbl0029.34001
  7. [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
  8. [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
  9. [8] J. Frenkel, Cohomologie non abélienne et espaces fibrés, Bull. Soc. Math. France, 85, (1957), 135-220. Zbl0082.37702MR98200
  10. [9] J. Giraud, Cohomologie non abélienne, Die Grundlehren der mathematischen Wissenschaften, 179, Springer-Verlag, Berlin, (1971). Zbl0226.14011MR344253
  11. [10] A. Grothendieck, A General Theory of Fibre Space With Structure SheafUniversity of Kansas, Report n° 4, Second Edition (1958). 
  12. [11] D. Guin, Cohomologie et Homologie non abéliennes des groupes, J. Pure. Appl. Algebra., 50, (1988), 109-137. Zbl0653.20051MR938017
  13. [12] M. Hacque, Cohomologies des anneaux-groupes. Comm. in Algebra18, (1990), 3933-3997. Zbl0737.18006MR1068631
  14. [13] M. Hacque, Produits croisés mixtes : extensions de groupes et extensions d'anneaux, Comm. in Algebra, 19, (1991), 1993-2049. Zbl0804.16027MR1121119
  15. [14] M. Hacque, Extensions Q-normales, (en préparation). 
  16. [15] M. Hacque, Les suites de Hochschild-Serre en cohomologie non abélienne (en préparation). 
  17. [16] G. Hochschild and J. P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc., 74, (1953), 110-134. Zbl0050.02104MR52438
  18. [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

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