2022 Constructing unramified extensions over quadratic fields
Misato Aoki, Masanari Kida
Involve 15(1): 55-68 (2022). DOI: 10.2140/involve.2022.15.55

Abstract

Using some regular polynomials with prescribed Galois groups, we construct explicit infinite families of unramified extensions over quadratic fields by specializations satisfying certain congruence conditions.

Citation

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Misato Aoki. Masanari Kida. "Constructing unramified extensions over quadratic fields." Involve 15 (1) 55 - 68, 2022. https://doi.org/10.2140/involve.2022.15.55

Information

Received: 15 March 2020; Revised: 2 April 2021; Accepted: 9 August 2021; Published: 2022
First available in Project Euclid: 29 March 2022

MathSciNet: MR4396351
zbMATH: 07570414
Digital Object Identifier: 10.2140/involve.2022.15.55

Subjects:
Primary: 11R09 , 11R32 , 12F12

Keywords: quadratic field , regular extension , unramified extension

Rights: Copyright © 2022 Mathematical Sciences Publishers

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Vol.15 • No. 1 • 2022
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