Mathematical Research Letters

Volume 29 (2022)

Number 4

On the semi-simplicity conjecture for $\mathbb{Q}^\mathrm{ab}$

Pages: 1003 – 1009

DOI: https://dx.doi.org/10.4310/MRL.2022.v29.n4.a4

Author

Marco D’Addezio (Max-Planck-Institut für Mathematik, Bonn, Germany)

Abstract

We show that the semi-simplicity conjecture for finitely generated fields follows from the conjunction of the semi-simplicity conjecture for finite fields and for the maximal abelian extension of the field of rational numbers.

Received 15 June 2020

Accepted 12 February 2021

Published 23 February 2023