Duality and Local Group Cohomology 

by Paul Hewitt

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.