On the Profinite Regular Inverse Galois Problem
On the Profinite Regular Inverse Galois Problem
Given a field k , a k -curve X and a k -rational divisor \mathbf t ⊂ X , we analyze the constraints imposed on X and \mathbf t by the existence of abelian G -covers f : Y → X defined over k and unramified outside \mathbf t . …