TY - JOUR

T1 - The absolute Galois group of the field of totally S-adic numbers

AU - Haran, Dan

AU - Jarden, Moshe

AU - Pop, Florian

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=69549108518&partnerID=8YFLogxK

U2 - 10.1017/S0027763000009648

DO - 10.1017/S0027763000009648

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AN - SCOPUS:69549108518

VL - 194

SP - 91

EP - 147

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

SN - 0027-7630

ER -