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.

**References**

Birkhoff, G. and Mac Lane, S. *A Survey of Modern Algebra, 3rd ed.* New York: Macmillan,
p. 237, 1965.

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1999-05-25