nLab
affine group

Contents

Contents

Definition

Given an affine space underlying a vector space VV, then its affine group is its group of automorphisms, i.e. the semidirect product group

Aff(V)=VGL(V) Aff(V) = V \rtimes GL(V)

of the translation group of VV and the general linear group of VV.

Last revised on January 1, 2015 at 20:53:39. See the history of this page for a list of all contributions to it.