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W. Herfort:
"Virtually free pro-p Groups";
Vortrag: Tagung 'The Arithmetic of Fields', Mathematisches Institut Oberwolfach, Oberwolfach; 05.02.2002.

For a finitely generated free pro-p group G the following statements are equivalent:
(a) G is a virtually free pro-p group;
(b) G acts faithfully and irreducibly on a pro-p tree with finite
vertex stabilizers;
(c) G is the pro-p fundamental group of a finite graph of p-groups.

The result generalizes the famous result of J.P.Serre, namely, when G is torsion free then G is free pro-p.