The prime at infinity and the rank of the class group in global function fields

DOI10.1016/j.jnt.2005.04.014zbMath1089.11064OpenAlexW2032989116MaRDI QIDQ818060

Allison M. Pacelli

Publication date: 24 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.04.014

zbMATH Keywords

class groupcongruenceideal class groupClass number

Mathematics Subject Classification ID

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

Related Items (3)

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

Cites Work

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• 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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