Infinite families of Artin-Schreier function fields with any prescribed class group rank

DOI10.4153/s0008414x23000652MaRDI QIDQ6633512

Yoon-Jin Lee, Jinjoo Yoo

Publication date: 6 November 2024

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

function fieldclass groupideal class groupArtin-Schreier extensionGalois module

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class numbers, class groups, discriminants (11R29)

Cites Work

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• The generalized Rédei-matrix for function fields
• Imaginary quadratic function fields with ideal class group of prime exponent
• \(\ell\)-class groups of cyclic function fields of degree \(\ell\)
• The generalized Rédei-matrix
• The genus fields of Artin-Schreier extensions
• Ambiguous divisor classes in function fields
• Genus theory of global fields
• Indivisibility of divisor class numbers of Kummer extensions over the rational function field
• The genus fields of Kummer function fields.
• Infinite families of cyclotomic function fields with any prescribed class group rank
• Theorie der relativ-zyklischen algebraischen Funktionenkörper, insbesondere bei endlichem Konstantenkörper.
• Die Anzahl der durch \(4\) teilbaren Invarianten der Klassengruppe eines beliebigen quadratischen Zahlkörpers.
• On l-class groups of global function fields
• l-PARTS OF DIVISOR CLASS GROUPS OF CYCLIC FUNCTION FIELDS OF DEGREE l
• Algebraic Function Fields and Codes
• Quadratic function fields whose class numbers are not divisible by three
• 3-Class groups of cubic cyclic function fields

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