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On the cohomology of certain groups

Published online by Cambridge University Press:  24 October 2008

C. T. C. Wall
C. T. C. Wall
Affiliation:
Trinity College, Cambridge and Institute for Advanced Study, Princeton
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Extract

Recent work of Atiyah (1) on the Grothendieck rings of classifying spaces of finite groups has yielded, among many other interesting results, a spectral sequence relating the simple integer cohomology of a finite group to its representation ring. He has determined the first differential operator of the spectral sequence which affects the p-part of the cohomology, and the question naturally arises, when is it the only non-zero one. My object in this note is to show that this is so for a large class of groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 4 , October 1961 , pp. 731 - 733
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Atiyah, M. F., Characters and cohomology of finite groups (to appear).Google Scholar
(2)Cartan, H. and Eilenberg, S., Homological algebra (Princeton, 1956).Google Scholar
(3)Milnor, J., The Steenrod algebra and its dual. Ann. Math. 67 (1958), 150–71.CrossRefGoogle Scholar
(4)Wall, C. T. C., The transfer map commutes with suspended cohomology operations (to appear).Google Scholar