  We define a multi-group version of the mean-field spin model, also called
Curie-Weiss model. It is known that, in the high temperature regime of this
model, a central limit theorem holds for the vector of suitably scaled group
magnetisations, that is the sum of spins belonging to each group. In this
article, we prove a local central limit theorem for the group magnetisations in
the high temperature regime.
