Abstract: | For a solvable imbedding problem (L/K,G,A) of a number field with Abelian kernel A and a finite set of points S of the field K, a finite set T of points of the field K, is found which has the following property: for any solvable imbedding problem with given localizations, corresponding to the problem (L/K,G,A), there exists a solution which is unramified outside of SuT.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 57, pp. 85–99, 1976. |