Carlitz modules and Galois module structure. II

DOI10.1006/jnth.1997.2197zbMath0916.11057OpenAlexW1994777782MaRDI QIDQ1385260

Akira Aiba

Publication date: 8 July 1999

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2197

zbMATH Keywords

Carlitz modulecyclotomic function fieldsadditive Galois module structureassociated order

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (2)

Artin-Schreier extensions and Galois module structure. ⋮ Some Additive Galois Cohomology Rings

Cites Work

• Carlitz modules and Galois module structure
• Carlitz-Kummer function fields
• Elliptic functions and rings or integers
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• The ring of integers of an abelian number field.
• Formal groups and the Galois module structure of local rings of integers.
• Carlitz Modules and Normal Integral Bases
• Relative Galois module structure of rings of integers of cyclomatic fields.
• Explicit Class Field Theory for Rational Function Fields
• A Leopoldt-Type Result for Rings of Integers of Cyclotomic Extensions

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