A finiteness theorem for 2-towers of number fields

We show that if a 2-tower ( ) 0 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.

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Publication Details

Journal
Polynesian Journal of Mathematics
Published
2025-05-05
DOI
https://doi.org/10.69763/polyjmath.2.3
Primary Topic
Cryptography and Residue Arithmetic
Type
article
Field-Weighted Citation Impact
0.00

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article

A finiteness theorem for 2-towers of number fields

Carlos R. Videla, Xavier Vidaux
Polynesian Journal of Mathematics
Cryptography and Residue Arithmetic
article

A finiteness theorem for 2-towers of number fields

Carlos R. Videla, Xavier Vidaux
article en

Abstract

We show that if a 2-tower ( ) 0 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.

Polynesian Journal of MathematicsVol. 2(3)
Mount Royal University, Agencia Nacional de Investigación y Desarrollo
Sustainable cities and communities
Openalex Percentile: Top 87%
Cryptography and Residue Arithmetic
DOIOpen Access PDFOpenAlex
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A finiteness theorem for 2-towers of number fields — Carlos R. Videla, Xavier Vidaux · Polynesian Journal of Mathematics (2025) | TGRS Research Map | TGRS