 Residue-class-wise affine group

In mathematics, specifically in group theory, residue-class-wise affine
groups are certain permutation groups acting on
formula_1 (the integers), whose elements are bijective
residue-class-wise affine mappings.A mapping formula_2 is called residue-class-wise affine
if there is a nonzero integer formula_3 such that the restrictions of formula_4
to the residue classes
(mod formula_3) are all affine.