  We extract exact charged black-hole solutions with flat transverse sections
in the framework of D-dimensional Maxwell-f(T) gravity, and we analyze the
singularities and horizons based on both torsion and curvature invariants.
Interestingly enough, we find that in some particular solution subclasses there
appear more singularities in the curvature scalars than in the torsion ones.
This difference disappears in the uncharged case, or in the case where f(T)
gravity becomes the usual linear-in-T teleparallel gravity, that is General
Relativity. Curvature and torsion invariants behave very differently when
matter fields are present, and thus f(R) gravity and f(T) gravity exhibit
different features and cannot be directly re-casted each other.
