Coquasitriangular Hopf group coalgebras and braided monoidal categories

Let ?? be a group, and let H be a Hopf ??-coalgebra. We first show that the category M ^H of right ??-comodules over H is a monoidal category and there is a monoidal endofunctor (F _?? , id, id) of M ^H for any ?? ?? ??. Then we give the definition of coquasitriangular Hopf ??-coalgebras. Finally, we show that H is a coquasitriangular Hopf ??-coalgebra if and only if M ^H is a braided monoidal category and (F _?? , id, id) is a braided monoidal endofunctor of M ^H for any ?? ?? ??.