The Hasse Norm Principle for Elementary Abelian Extensions

Mitsuko Horie · Proceedings of the American Mathematical Society · 1993

Let $K/k$ be an elementary abelian extension of finite algebraic number fields. The Hasse norm principle for $K/k$ and its relation to the Hasse norm principles for all proper subextensions of $K/k$ will be discussed. The central class field of $K/k$ with $k = \mathbb {Q}$ will also be studied.

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