Artin's conjecture that the maximal abelian extension of the rationals is C1C_1

Let Qab\mathbf{Q}^{\mathrm{ab}} denote the maximal abelian extension of the rational numbers. Artin's conjecture. The field Qab\mathbf{Q}^{\mathrm{ab}} is (C1)(C_1). The source presents this as an open problem for number fields and gives no resolution of this assertion.

Sources & referencesView supporting material

Primary source

Olivier Wittenberg, “La connexité rationnelle en arithmétique”, arXiv:1003.1659 (2011).

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