Genus fields of abelian extensions of rational congruence function fields. II

DOI10.1216/RMJ-2018-48-7-2099zbMath1425.11184MaRDI QIDQ1755464

Carlos Montelongo-Vázquez, Carlos Daniel Reyes-Morales, Martha Rzedowski-Calderón, Jonny Fernando Barreto-Castañeda, Gabriel Daniel Villa-Salvador

Publication date: 10 January 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1544756803

zbMATH Keywords

global function fieldsramificationgenus fieldsabelian \(p\)-extensions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29)

Related Items (6)

Genus fields of global fields ⋮ Genus fields of Kummer extensions of rational function fields ⋮ Genus field and extended genus field of an elementary abelian extension of global fields ⋮ Class fields, Dirichlet characters, and extended genus fields of global function fields ⋮ Genus fields of Kummer ℓn-cyclic extensions ⋮ Function field genus theory for non-Kummer extensions

Cites Work

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• Zur Geschlechtertheorie in quadratischen Zahlkörpern
• GENUS FIELDS OF CYCLIC l-EXTENSIONS OF RATIONAL FUNCTION FIELDS
• Relations Between the Genera and Between the Hasse-Witt Invariants of Galois Coverings of Curves
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
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• Zur Geschlechtertheorie in abelschen Zahlkörpern

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