Volume 2, Issue 3
Abstract:
We show that if a -tower of number fields does not contain infinitely many Galois quartic extensions, then the structure of the lattice of subfields of the union of the is completely determined by studying the subfields of up to some degree.
Keywords: Towers of number fields, -towers, lattice of subfields.
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
Milestones:
Received 2 Jan 2025
Accepted 18 Mar 2025
Published 5 May 2025
Communicated by Gaetan Bisson
The above content is released under the terms of the Creative Commons Attribution 4.0 International license.