Iwasawa theory of totally real fields for certain non-commutative $p$-extensions

Abstract

In this paper, we prove the Iwasawa main conjecture of totally real fields for certain specific non-commutative $p$-adic Lie extensions, using the integral logarithms introduced by Oliver and Taylor. Our result gives certain generalization of Kazuya Kato's proof of the main conjecture for Galois extensions of Heisenberg type.

77pages

References in corpus (1)

• Proof of the Main Conjecture of Noncommutative Iwasawa Theory for Totally Real Number Fields in Certain Cases

Cited by in corpus (3)

• Congruences between abelian pseudomeasures, II
• Non-commutative p-adic L-functions for supersingular primes
• Inductive construction of the p-adic zeta functions for non-commutative p-extensions of totally real fields with exponent p