Claude Cibils and Andrea Solotar

Hochschild cohomology algebra of abelian groups 

Arch. math. 68 17-21 (1997).

Overview.
The Hochschild cohomology algebra of an abelian group has been computed 
recently by Holm. His results presents an analogy with known results on 
the usual cohomology and suggests a relation a priori between both 
cohomologies. With A. Solotar we have established an explicit isomorphism 
relying the structures.