Abstract
Let T be a stable theory. It was shown in [5] that one can define the notions of homology groups attached to a stationary type of T . It was also shown that if T fails to have an amalgamation property called 3-uniqueness, then for some stationary type p the homology group H2(p) has to be a nontrivial abelian profinite group. The goal of this paper is to show that for any abelian profinite group G there is a stable (in fact, categorical) theory and a stationary type p such that H2(p) ∼= G.
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