On cyclic and pro-cyclic embedding problems over algebraic number
fields.

David Brink

Abstract: Consider a quadratic extension of algebraic number fields $L/K$.
We investigate when $L/K$ can be embedded into a cyclic extension of
degree 4, 8, 16, ... , 2^{\infty}. An important tool in this theory is the
theorem of Grunwald-Wang which gives a local-global principle.