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.