For every integer e => 3 there exists a non-free torsion-free profinite group containing F, as an open subgroup. The aim of this note is to disprove the following CONJECTURE (Jarden [3], Conjecture 4.4). Let ~ be a full family of finite groups and let e => 2 be an integer. If a torsion-free pro-q~-group G contains an open subgroup F which is isomorphic to… (More)