A note on Polya groups

Étienne Emmelin

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arXiv · 2302.07977

A note on Polya groups

Étienne Emmelin

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Abstract

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.

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Étienne Emmelin. 2023-02-15. A note on Polya groups. https://arxiv.org/abs/2302.07977

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