An introduction to p-adic L-functions — Lean blueprint

13. Iwasawa mu-invariant🔗

We close the formalisation with classical Iwasawa theory: the \mu- and \lambda-invariants of a \Zp-extension. Proving Iwasawa's growth formula for class numbers develops exactly the tools needed to see that the Galois modules appearing in the Jacinto and Williams (2023) theory are finitely generated torsion \Lam-modules — the algebraic input to the Iwasawa Main Conjecture beyond the Vandiver case. Throughout, p is a fixed prime and F a number field.

  1. 13.1. The setup
  2. 13.2. Iwasawa's theorem
  3. 13.3. Consequences