Abstract
1. Theorem. (A) Let G = G1 *HG2 be an amalgamated free product decomposition of free group G with finitely generated. Then, there is a non-trivial free factor H' o f such that H is a free factor o f either Gl or G2. (B) Let G = J*H,t be a N N decomposition o f a free group G with finitely generated. Then there are decompositions H= Ht *H2, J = J1 *J2 with H1 non-trivial such that Hi is a free factor o f J1 and t 1H l t is conjugate in J to a subgroup o f J2
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