Rational maximal torus (source code)

= Rational maximal torus
{title2=$F(T)=T$}

= Rational maximal tori
{synonym}

A <maximal algebraic torus> $T$ is rational for $F$ when $F(T)=T$. Rationality does not require every point of $T$ to be fixed: the finite group $T^F$ is its rational-point group. Similarly a rational <Borel subgroup> or <parabolic subgroup> means an $F$-stable algebraic subgroup.