  We focus on the majority model in a topology consisting of two coupled
fully-connected networks, thereby mimicking the existence of communities in
social networks. We show that a transition takes place at a value of the
inter-connectivity parameter. Above this value, only symmetric solutions
prevail, where both communities agree with each other and reach consensus.
Below this value, in contrast, the communities can reach opposite opinions and
an asymmetric state is attained. The importance of the interface between the
sub-networks is shown.
