A finiteness theorem for 2-towers of number fields

Xavier Vidaux; Carlos Rodolfo Videla

doi:10.69763/polyjmath.2.3

Polynesian Journal of Mathematics

Volume 2, Issue 3

A finiteness theorem for 2-towers of number fields

Xavier Vidaux and Carlos Rodolfo Videla

Abstract:

We show that if a $2$ -tower ${(F_{n})}_{n \geq 0}$ of number fields does not contain infinitely many Galois quartic extensions, then the structure of the lattice of subfields of the union $F$ of the $F_{n}$ is completely determined by studying the subfields of $F$ up to some degree.
Keywords: Towers of number fields, $2$ -towers, lattice of subfields.

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Citation:

Xavier Vidaux and Carlos Rodolfo Videla. A finiteness theorem for 2-towers of number fields. Polynesian Journal of Mathematics, Volume 2, Issue 3, Pages 1–9. (May 2025) DOI: 10.69763/polyjmath.2.3
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Milestones:

Received 2 Jan 2025
Accepted 18 Mar 2025
Published 5 May 2025
Communicated by Gaetan Bisson

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