Abstract
A group structure G = (G, G l,..., G n) is projective if and only if G is isomorphic to a Galois group structure $$ Gal(K) = (Gal(K),Gal(K_1 ),...,Gal(K_n ))$$ of a field-valuation structure K = (K,K l,v 1,...,,K n,v n) where (K i,v i) is the Henselian closure of (K, v i|K) and K is pseudo closed with respect to K l,...,K n.
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