  In this work we consider quotients of elliptically fibered Calabi-Yau
threefolds by freely acting discrete groups and the associated physics of
F-theory compactifications on such backgrounds. The process of quotienting a
Calabi-Yau geometry produces not only new genus one fibered manifolds, but also
new effective 6-dimensional physics. These theories can be uniquely
characterized by the much simpler covering space geometry and the symmetry
action on it. We use this method to construct examples of F-theory models with
an array of discrete gauge groups and non-trivial monodromies, including an
example with Z6 discrete symmetry.
