On the class groups of pure function fields

DOI10.3792/pjaa.64.170zbMath0664.12006OpenAlexW2023120129MaRDI QIDQ1115479

Humio Ichimura

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.170

zbMATH Keywords

divisor class grouppure extensions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Iwasawa theory (11R23)

Related Items (5)

Biographical Sketch of Professor Humio Ichimura ⋮ On normal integral bases of unramified abelian \(p\)-extensions over a global function field of characteristic \(p\) ⋮ Abelian subgroups of any order in class groups of global function fields ⋮ Nonparametric identification and estimation of polychotomous choice models ⋮ Corrigendum: On the class groups of pure function fields

Cites Work

• On the 2-rank of the ideal class groups of pure number fields
• Class numbers of pure cubic fields
• The genus fields of algebraic number fields
• On class numbers of algebraic number fields
• Class numbers of algebraic number fields of Eisenstein type
• On unramified Galois extensions of quadratic number fields
• Class number and ramification in fields of algebraic functions
• \(S\)-units and \(S\)-class group in algebraic function fields
• A Class Rank Estimate for Algebraic Number Fields

This page was built for publication: On the class groups of pure function fields