Cohomological triviality by spectral methods
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- by Juan José Martínez
- Proc. Amer. Math. Soc. 72 (1978), 39-40
- DOI: https://doi.org/10.1090/S0002-9939-1978-0578499-8
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Abstract:
In this note, the spectral sequence of a group extension is used to obtain a direct proof of the twins’ criterion for cohomological triviality of modules over a finite group, stated in its strong form.References
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- G. Hochschild and J.-P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953), 110–134. MR 52438, DOI 10.1090/S0002-9947-1953-0052438-8
- Jean-Pierre Serre, Corps locaux, Publications de l’Université de Nancago, No. VIII, Hermann, Paris, 1968 (French). Deuxième édition. MR 0354618
Bibliographic Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 39-40
- MSC: Primary 20J05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0578499-8
- MathSciNet review: 0578499