General affine group (source code)

= General affine group
{title2=$AGL_d(p)=\mathbb F_p^d\rtimes GL_d(p)$}

The <group> of maps $x\mapsto Ax+b$ of a finite-dimensional <vector space>, with $A$ invertible. Identifying the underlying points with a regular <elementary abelian group> identifies its normalizer in the <symmetric group> with this <semidirect product>.