The Northcott Property for Composites of Number Fields of Bounded Degree

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1. Verfasser: Castillo, Benjamín
Format: Preprint
Veröffentlicht: 2026
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author Castillo, Benjamín
author_facet Castillo, Benjamín
contents We prove that infinite Galois extensions of number fields with Galois group of finite exponent have the Northcott property. The main novelty of our approach lies in the application of a theorem of Segal on profinite groups.
format Preprint
id arxiv_https___arxiv_org_abs_2605_27232
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Northcott Property for Composites of Number Fields of Bounded Degree
Castillo, Benjamín
Number Theory
We prove that infinite Galois extensions of number fields with Galois group of finite exponent have the Northcott property. The main novelty of our approach lies in the application of a theorem of Segal on profinite groups.
title The Northcott Property for Composites of Number Fields of Bounded Degree
topic Number Theory
url https://arxiv.org/abs/2605.27232