  The majority-voter model is studied by Monte Carlo simulations on hypercubic
lattices of dimension $d=2$ to 7 with periodic boundary conditions. The
critical exponents associated to the Finite-Size Scaling of the magnetic
susceptibility are shown to be compatible with those of the Ising model. At
dimension $d=4$, the numerical data are compatible with the presence of
multiplicative logarithmic corrections. For $d\ge 5$,the estimates of the
exponents are close to the prediction $d/2$ when taking into account the
dangerous irrelevant variable at theGaussian fixed point. Moreover, the
universal values of the Binder cumulant are also compatible with those of the
Ising model. This indicates that the upper critical dimension of the
majority-voter model is not $d_c=6$ as claimed in the literature, but $d_c=4$
like the equilibrium Ising model.
