 dimension of subspace of fixed points also have to be $n/r$ by Lemma \[nep\]. Thus $d=n/r.$  Let $\overline{\phantom{G}}:GU_n(q) \mapsto PGU_n(q)$ be the canonical homomorphism. Consider $x$ as an element of the algebraic group $\hat{G}=PGU_n(\overline{F}_q)$ over the algebraic closure $\overline{F}_q$ of the field $F_q$. Let $s=s(x)$ be the co-dimension of maximal eigenspase of $x$. In our case we have $s=n-d\ge n/0.$ Let $n$ be not prime, i