The absolute Galois group of the field of totally S-adic numbers

Dan Haran, Moshe Jarden, Florian Pop

Research output: Contribution to journalArticlepeer-review

Abstract

For a finite set S of primes of a number field K and for σ1, ..., σe ∈ Gal(K) we denote the field of totally S-adic numbers by Ktot,S and the fixed field of σ1, ...,σe in Ktot,S by Ktot,S(σ). We prove that for almost all σ ∈ Gal(K)e the absolute Galois group of Ktot,S(σ) is the free product of Fe and a free product of local factors over S.

Original languageEnglish
Pages (from-to)91-147
Number of pages57
JournalNagoya Mathematical Journal
Volume194
DOIs
StatePublished - 2009

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