Hello People of Mathoverflow, I am searching for a Theorem about Lie Theory:

Let X_{l}(q) be a Group of Lie type, with Lie rank l over the finite field with q=r^{a} elements and r is a prime. Let K be a subgroup of X_{l}(q), with the order of K prime to r (a r´ Group), so there is a maximal Torus T of X_{l}(q) and K is subgroup of the normalizer of T in X ( K \leq N_{X_{l}(q)}(T) ).

It should be right for K which only include semisimple elements, but where can I find these Theorem? Is there another property for the elements of K which the Theorem is true?

Thank you much for your Answers.

Hello People of Mathoverflow, I am searching for a Theorem about Lie Theory:

Let $X_{l}(q)$ be a Group of Lie type, with Lie rank $l$ over the finite field with $q=r^{a}$ elements and $r$ is a prime. Let $K$ be a subgroup of $X_{l}(q)$, with the order of $K$ prime to $r$ (a $r$´ group), so there is a maximal torus $T < X_{l}(q)$ and $K$ is subgroup of the normalizer of $T$ in $X$ ( $K \leq N_{X_{l}(q)}(T)$ ).

It should be right for $K$ which only include semisimple elements, but where can I find these theorem? Is there another property for the elements of K which the Theorem is true?

Thank you much for your Answers.