Abstract
The following Theorem is proved:Let K be a finitely generated field over its prime field. Then, for almost all e-tuples (σ)=(σ 1, …,σ e)of elements of the abstract Galois group G(K)of K we have: HereK(σ) is the fixed field in the algebraic closureK ofK, ofσ 1, …,σ e, and “almost all” is meant in the sense of the Haar measure ofG(K).
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