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The fundamental group of transformations of an [[Affine space|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|Projective transformation]]).

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How to Cite This Entry:
Affine group. A.P. Shirokov (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Affine_group&oldid=15047

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098

Retrieved from "https://encyclopediaofmath.org/wiki/Affine_group"