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.