Frobenius complement
= Frobenius complement
{c}
{title2=$H\cap H^g=\{1\}\quad(g\notin H)$}
A Frobenius complement is the nontrivial proper subgroup $H$ in a <Frobenius group> with the displayed trivial-intersection property. In the action on cosets of $H$, it is a point stabilizer; no nonidentity element fixes two distinct points.