Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture

2014/08/21 by Johnston, Henri, Nickel, Andreas
#11R23 #11R42 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1408.4934

Abstract

Let p be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for an infinite class of one-dimensional non-abelian p-adic Lie extensions. Crucially, this result does not depend on the vanishing of the relevant Iwasawa mu-invariant.

Related

• The main conjecture of Iwasawa theory for totally real fields
• On the 'main conjecture' of equivariant Iwasawa theory
• A Main Conjecture in non-commutative Iwasawa theory
• An unconditional proof of the abelian equivariant Iwasawa main\n conjecture and applications
• Proof of the Main Conjecture of Noncommutative Iwasawa Theory for Totally Real Number Fields in Certain Cases