Higher rank subgroups in the class groups of imaginary function fields

DOI10.1016/j.jpaa.2005.09.001zbMath1133.11062OpenAlexW1970386543MaRDI QIDQ2502915

Allison M. Pacelli, Yoon-Jin Lee

Publication date: 13 September 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.09.001

zbMATH Keywords

class groupcongruence function fieldClass numberrank of class groupimaginary function field

Mathematics Subject Classification ID

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

Related Items (2)

Decomposition of places in dihedral and cyclic quintic trinomial extensions of global fields ⋮ Class groups of global function fields with certain splitting behaviors of the infinite prime

Cites Work

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• The prime at infinity and the rank of the class group in global function fields
• Corrigendum: On the class groups of pure function fields
• Abelian subgroups of any order in class groups of global function fields
• On unramified Galois extensions of quadratic number fields
• On ideal groups of algebraic number fields.
• Class Number Divisibility in Real Quadratic Function Fields
• Class groups of imaginary function fields: The inert case

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