On the class group problem for function fields

DOI10.1006/JNTH.1998.2225zbMath0911.11052OpenAlexW1984938674MaRDI QIDQ1267302

Bruno Anglès

Publication date: 25 November 1998

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2225

zbMATH Keywords

cyclotomic function fieldsclass numbersglobal function fieldsHilbert class fieldsclass group problem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (3)

On normal integral bases of unramified abelian \(p\)-extensions over a global function field of characteristic \(p\) ⋮ Divisor class number one problem for Abelian extensions over rational function fields ⋮ On the ideal class group problem for global fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic function fields and codes
• The Hilbert class field in function fields
• Units and class groups in cyclotomic function fields
• Zur Divisorklassengruppe eines Kongruenzfunktionenkörpers
• Construction of number fields with prescribed \(\ell\)-class groups
• Explicit Class Field Theory for Rational Function Fields

This page was built for publication: On the class group problem for function fields