The Ambiguous Class Number Formula Revisited

Abstract

We will give a simple proof of the ambiguous class number formula.

Journal of the Ramanujan Mathematical Society 2013

Cited by in corpus (13)

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• Capitulation in the absolutely abelian extensions of some fields $\mathbb{Q}(\sqrt{p_1{p}_{2}q},\sqrt{-1})$
• l-Class groups of cyclic extensions of prime degree l
• The unit norm index and $p$-class group in certain degree $\ell$ extensions
• Scholz's reciprocity law in number fields
• The Chevalley-Gras formula over global fields
• On Class Numbers of Pure Quartic fields
• Capitulation in the absolutely abelian extensions of some number fields II
• On Hilbert $2$-class fields and $2$-towers of imaginary quadratic number fields
• Capitulation, unit groups, and the cohomology of $S$-idèle classes