On the Character Degrees of Sylow $p$-subgroups of Chevalley Group of Type $E(p^f)$

Tung Le, Kay Magaard

Let $\F_q$ be a field of characteristic $p$ with $q$ elements. It is known that the degrees of the irreducible characters of the Sylow $p$-subgroup of $GL_n(\F_q)$ are powers of $q…