Genus fields of global fields

zbMath1455.11150arXiv1901.07156MaRDI QIDQ4970503

Elizabeth Ramírez-Ramírez, Martha Rzedowski-Calderón, Gabriel Daniel Villa-Salvador

Publication date: 14 October 2020

Full work available at URL: https://arxiv.org/abs/1901.07156

zbMATH Keywords

global fieldsgenus fieldsextended genus fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class field theory (11R37) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29)

Related Items (2)

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

Cites Work

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• Genus fields of congruence function fields
• The genus fields of Artin-Schreier extensions
• The Hilbert class field in function fields
• Construction of genus field and some applications
• The genus field of an algebraic function field
• Genus theory of global fields
• Genus fields of abelian extensions of rational congruence function fields. II
• The genus fields of Kummer function fields.
• Zur Geschlechtertheorie in quadratischen Zahlkörpern
• The genus field and genus group in finite number fields
• Zur Geschlechtertheorie in abelschen Zahlkörpern

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