Artin-Schreier extensions and Galois module structure.

DOI10.1016/S0022-314X(03)00083-0zbMath1035.11059MaRDI QIDQ1403938

Akira Aiba

Publication date: 20 August 2003

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

zbMATH Keywords

local fieldfield of Laurent serieswildly ramified extension

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois theory (11S20) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Valued fields (12J10)

Related Items (8)

Artin-Schreier extensions and generalized associated orders ⋮ Integral Galois module structure for elementary abelian extensions with a Galois scaffold ⋮ Scaffolds and generalized integral Galois module structure ⋮ Sufficient conditions for large Galois scaffolds ⋮ Ramified extensions of degree p and their Hopf–Galois module structure ⋮ Galois scaffolding in one-dimensional elementary abelian extensions ⋮ Galois scaffolds and Galois module structure in extensions of characteristic \(p\) local fields of degree \(p^2\) ⋮ Note on a theorem of A. Aiba

Cites Work

• Carlitz modules and Galois module structure
• Carlitz modules and Galois module structure. II
• Some self-dual local rings of integers not free over their associated orders

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