ON SATURATED DISTINGUISHED CHAINS OVER A LOCAL FIELD III: The Case of p-Extensions with Two Proper Higher Ramification Groups

DOI10.1142/S0129167X06003606zbMath1154.11041OpenAlexW2093587160MaRDI QIDQ5483424

Kaori Ota

Publication date: 14 August 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x06003606

zbMATH Keywords

local fields\(p\)-extensionssaturated distinguished chainswildly ramified extensionsramification groups.

Mathematics Subject Classification ID

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

Related Items (2)

Continuous automorphisms of transcendental closed subfields of \(\mathbb {C}_p\) ⋮ On p-adic analytic continuation with applications to generating elements

Cites Work

• Integral basis of the field \(\mathbb Q(\root n\of a)\)
• Construction of integral basis. I
• On the closed subfields of \(C_p\)
• On the structure of the irreducible polynomials over local fields
• On saturated distinguished chains over a local field
• On saturated distinguished chains over a local field. II
• Chains of metric invariants over a local field

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