Norms in finite galois extensions of the rationals

Hans Opolka
1990 International Journal of Mathematics and Mathematical Sciences  
We show that under certain conditions a rational number is a norm in a given finite Galois extension of the rationals if and only if this number is a local norm at a certain finite number of places in a certain finite abelian extension of the rationals.
doi:10.1155/s0161171290001120 fatcat:zeg3whbq7jfjfbedwmhywwyd7i