Duality and Local Group Cohomology

Details Duality and Local Group Cohomology Duality and Local Group Cohomology

1997-03-25

arxiv.org/abs/math/9703202v1

Mathematics

Group Theory

DVI and Post-Script files only, 5 pages

Scientific paper

Recently, Meierfrankenfeld has published three theorems on the cohomology of a finitary module. They cover the local determination of complete reducibility; the local splitting of group extensions; and the representation of locally split extensions in the double dual. In this note we derive all three by combining a certain duality between homology and cohomology with the continuity of homology.

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