Galois scaffolds for cyclic \(p^n\)-extensions in characteristic \(p\)

DOI10.1007/s40993-022-00381-2OpenAlexW4298101764MaRDI QIDQ2081523

Kevin Keating, Gove Griffith Elder

Publication date: 13 October 2022

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

Full work available at URL: https://arxiv.org/abs/2201.08885

zbMATH Keywords

local Galois module theoryArtin-Schreier-Witt extensionGalois scaffold

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15)

Cites Work

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• Models of group schemes of roots of unity
• Galois scaffolds and Galois module structure in extensions of characteristic \(p\) local fields of degree \(p^2\)
• Ramification groups in Artin-Schreier-Witt extensions
• A valuation criterion for normal basis generators in equal positive characteristic
• Models of \(\mu _{p^{2},K}\) over a discrete valuation ring
• Local Leopoldt's problem for rings of integers in Abelian \(p\)-extensions of complete discrete valuation fields
• Sufficient conditions for large Galois scaffolds
• Lectures on \(p\)-divisible groups
• Scaffolds and generalized integral Galois module structure
• Hopf Algebras and Galois Module Theory
• Refined ramification breaks in characteristic $p$
• Primitively generated Hopf orders in characteristicp

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