A vanishing theorem for cohomology
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- by J. L. Alperin and Daniel Gorenstein
- Proc. Amer. Math. Soc. 32 (1972), 87-88
- DOI: https://doi.org/10.1090/S0002-9939-1972-0291293-5
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Abstract:
A criterion is given for ${H^0}(G,A) = {H^1}(G,A) = 0$, where G is a group and A is a G-module, in terms of the cohomology of a collection of subgroups of G.References
- Norman Blackburn, The extension theory of the symmetric and alternating groups, Math. Z. 117 (1970), 191–206. MR 286880, DOI 10.1007/BF01109843
- D. G. Higman, Flag-transitive collineation groups of finite projective spaces, Illinois J. Math. 6 (1962), 434–446. MR 143098
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 87-88
- MSC: Primary 20J05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0291293-5
- MathSciNet review: 0291293