Chebotarev Density Theorem

← Encyclopedia

External reading guide · Research

Frobenius conjugacy classes control how often unramified primes exhibit each splitting behavior in a finite Galois extension. Polynomial examples translate the density statement into factorization patterns modulo primes.

Before opening the references

Galois Extension · Number Field · prime ideal · residue degree of a local number-field extension

Where to read

  1. Start here: Algebraic Number Theory (v3.08)

    James S. Milne · Lecture notes · English · Free full text

    Chapter 8 Global Fields, Chebotarev density theorem, Theorem 8.31 and Example 8.36

    Source page · Checked 2026-10-16

Continue from here

Algebraic Number Theory & Class Field Theory in the library · Preparation and skip guidance

Suggest an edit · Report a correction

Original orientation: CC BY-SA 4.0. Linked texts retain their own licences.