The set of all nonsingular affine transformations of a translation in space constitutes a group known as the affine group. The affine group contains the full linear group and the group of translations as subgroups.
Affine Group
See also
Affine Complex Plane, Affine Equation, Affine Geometry, Affine Hull, Affine Plane, Affine Space, Affine TransformationExplore with Wolfram|Alpha
References
Birkhoff, G. and Mac Lane, S. A Survey of Modern Algebra, 5th ed. New York: Macmillan, p. 237, 1996.Referenced on Wolfram|Alpha
Affine GroupCite this as:
Weisstein, Eric W. "Affine Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AffineGroup.html