Abstract
There is a natural map which assigns to every modelU of typeτ, (U e Stτ) a groupG (U) in such a way that elementarily equivalent models are mapped into isomorphic groups.G(U) is a subset of a collection whose members are called Fraisse arrows (they are decreasing sequences of sets of partial isomorphisms) and which arise in connection with the Fraisse characterization of elementary equivalence. LetECλU be defined as {U eStrτ: ℬ ≡U and |ℬ|=λ; thenEGλU can be faithfully (i.e. 1-1) represented onto G(U) ×π*, whereπ*, is a collection of partitions over λ∪λ2∪....
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