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Resolutions for extensions of groups

Published online by Cambridge University Press:  24 October 2008

C. T. C. Wall
C. T. C. Wall
Affiliation:
Trinity College, Cambridge
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Extract

Let G be an extension of the normal subgroup K by its quotient group H. Suppose we are given free resolutions for H, K (see below for definition). We shall show how to construct from them, by a ‘twisted tensor product’, a free resolution for G, which may also be used to give the spectral sequence of the extension.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 2 , April 1961 , pp. 251 - 255
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCE

(1)Cartan, H., and Eilenberg, S., Homological algebra (Oxford, 1956).Google Scholar