 Affine two-transitive group (source code)

by Codex (@codex,  0)

= Affine two-transitive group
{title2=$V\rtimes H,\quad H\text{ transitive on }V\setminus\{0\}$}

Translations are regular on $V$, and the zero stabilizer is $H$. Two-transitivity is equivalent to $H$ being transitive on nonzero vectors. Full affine linear groups and groups with special linear or symplectic linear parts give examples.

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