On a new version of the Grothendieck-Teichmüller group

In this Note we introduce a certain subgroup Г of the Grothendieck-Teichmuller group GT, obtained by adding two new relations to the definition of GT. We show that Г gives an automorphism group of the profinite completions of certain surface mapping class groups with geometric compatibility conditions, and that the absolute Galois group (ℚ/ℚ) is embedded into Г.