Indivisibility of divisor class numbers of Kummer extensions over the rational function field

DOI10.1016/J.JNT.2018.04.016zbMath1415.11163OpenAlexW2807526534WikidataQ114157313 ScholiaQ114157313MaRDI QIDQ1786699

Jinjoo Yoo, Yoon-Jin Lee

Publication date: 24 September 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.04.016

zbMATH Keywords

class numberglobal function fieldcyclotomic function fieldKummer extension

Mathematics Subject Classification ID

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

Related Items (3)

The mean value of the class numbers of cubic function fields ⋮ Infinite families of cyclotomic function fields with any prescribed class group rank ⋮ Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds

Cites Work

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• \(\ell\)-class groups of cyclic function fields of degree \(\ell\)
• On the class numbers of the maximal real subfields of cyclotomic function fields. II
• Function fields with class number indivisible by a prime l
• Indivisibility of class numbers of global function fields
• l-PARTS OF DIVISOR CLASS GROUPS OF CYCLIC FUNCTION FIELDS OF DEGREE l
• Indivisibility of class numbers of imaginary quadratic function fields
• Algebraic Function Fields and Codes
• Quadratic function fields whose class numbers are not divisible by three

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