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The Splitting of the Hochschild-Serre Spectral Sequence for a Product of Groups

Published online by Cambridge University Press:  20 November 2018

Uwe Jannsen
Uwe Jannsen*
Affiliation:
Fakultät für Mathematik, Universität Regensburg, Universitätsstraße 31, D-8400 Regensburg
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Abstract

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We show that the Hochschild-Serre spectral sequence for a product G x H of abstract or profinite groups splits for G-modules, and that this splitting is not functorial.

Keywords

20J0518G1520E18.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 2 , 01 June 1990 , pp. 181 - 183
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Deligne, P., Théorie de Hodge II, Publ. Math. I.H.E.S. 40 (1971), 5–58.Google Scholar
2. Milgram, R. J., The Determination of the Schur Subgroup, preprint 1977.Google Scholar
3. Serre, J. P., Cohomologie Galoisienne, Springer Lecture Notes in Math. 5 (1973).Google Scholar