Stabilization in non-abelian Iwasawa theory

• Autorzy: Andrea Bandini , Fabio Caldarola
• Języki publikacji: EN

Abstrakty

EN

Let K/k be a ℤₚ-extension of a number field k, and denote by kₙ its layers. We prove some stabilization properties for the orders and the p-ranks of the higher Iwasawa modules arising from the lower central series of the Galois group of the maximal unramified pro-p-extension of K (resp. of the kₙ).

Kategorie tematyczne

• 11R23: Iwasawa theory
• 11R29: Class numbers, class groups, discriminants

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 169
• Numer: 4
• Strony: 319-329

Daty

wydano

2015

Twórcy

autor

Andrea Bandini

• Dipartimento di Matematica e Informatica, Università degli Studi di Parma, Parco Area delle Scienze, 53/A, 43124 Parma (PR), Italy

autor

Fabio Caldarola

• Dipartimento di Matematica e Informatica, Università della Calabria, via P. Bucci, Cubo 31B, 87036 Arcavacata di Rende (CS), Italy

Identyfikatory

DOI

10.4064/aa169-4-2