The <Chebotarev density theorem> says that if $L/K$ is a finite Galois extension with group $G$ and $C\subseteq G$ is a conjugacy class, then the unramified primes $\mathfrak p$ whose Frobenius conjugacy class equals $C$ have <Dirichlet density>
$$
\frac{|C|}{|G|}.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 123 / 3 / 2 / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-123/3/2/solution