A note on Polya groups - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

A note on Polya groups

Résumé

Let $K/\mathbf{Q}$ be a finite Galois extension. The P\'olya group of $K$ is the subgroup of the class group $Cl(K)$, generated by the classes of ambiguous ideals of $K$. In this note, among other results, we prove that every finite abelian group is isomorphic to the P\'olya group of a number field.

Dates et versions

hal-03996219 , version 1 (19-02-2023)

Identifiants

Citer

Étienne Emmelin. A note on Polya groups. 2023. ⟨hal-03996219⟩
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