Frobenius cycle type
= Frobenius cycle type
{c}
Over $\mathbb F_q$, Frobenius acts on roots of an irreducible degree-$n$ polynomial as an $n$-cycle. Factor degrees therefore give its cycle type.
= Frobenius cycle type
{c}
Over $\mathbb F_q$, Frobenius acts on roots of an irreducible degree-$n$ polynomial as an $n$-cycle. Factor degrees therefore give its cycle type.