  We interpret Galois covers in terms of particular monoidal functors,
extending the correspondence between torsors and fiber functors. As
applications we characterize tame $G$-covers between normal varieties for
finite and \'etale group schemes and we prove that, if $G$ is a finite, flat
and finitely presented nonabelian and linearly reductive group scheme over a
ring, then the moduli stack of $G$-covers is reducible.
