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On the cohomology of local groups

Published online by Cambridge University Press:  09 April 2009

S. Świerczkowski
S. Świerczkowski
Affiliation:
Australian National UniversityCanberra
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Most known homology theories (e.g. the homology of modules, rings, groups, sheaves, …) have been found to be special cases of a general theory proposed by M. Barr and J. Beck [1], [2]. The aim of this paper is to show that the cohomology of a local group, as defined by W. T. van Est [4], also fits the scheme of Barr and Beck. At the same time it will be shown that local group cohomology is a relative derived functor in the sense of S. Eilenberg and J. C. Moore [3].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 2 , May 1971 , pp. 249 - 255
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Barr, M. and Beck, J., ‘Acyclic models and triples’, Proc. Conference on Categorical Algebra La Jolla 1965, (Springer, Berlin, 1966), 336–343.CrossRefGoogle Scholar
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