# Affine group

From Encyclopedia of Mathematics

The fundamental group of transformations of an affine space. It is a subgroup of the projective group and is represented by those projective transformations that map a fixed hyperplane of the projective space into itself (cf. Projective transformation).

**How to Cite This Entry:**

Affine group. A.P. Shirokov (originator),

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Affine_group&oldid=15047

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098