Martino Garonzi (Padova): Direct products of finite groups as unions of proper subgroups

I will present the content of the paper "Direct products of finite groups as unions of proper subgroups" (A. Lucchini, M. Garonzi), in which we determined all the ways in which a direct product of two finite groups can be expressed as the set-theoretical union of proper subgroups in a family of minimal cardinality.