Duality and Local Group Cohomology
Group Theory
2008-02-03 v1
Abstract
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.
Cite
@article{arxiv.math/9703202,
title = {Duality and Local Group Cohomology},
author = {Paul Hewitt},
journal= {arXiv preprint arXiv:math/9703202},
year = {2008}
}
Comments
DVI and Post-Script files only, 5 pages