On saturated distinguished chains over a local field. II

DOI10.1016/J.JNT.2004.12.005zbMath1154.11040OpenAlexW4213099949MaRDI QIDQ2565546

Kaori Ota

Publication date: 27 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.12.005

zbMATH Keywords

Local fieldRamification theorySaturated distinguished chainWild ramification

Mathematics Subject Classification ID

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

Related Items (3)

Continuous automorphisms of transcendental closed subfields of \(\mathbb {C}_p\) ⋮ On p-adic analytic continuation with applications to generating elements ⋮ ON SATURATED DISTINGUISHED CHAINS OVER A LOCAL FIELD III: The Case of p-Extensions with Two Proper Higher Ramification Groups

Cites Work

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• Integral basis of the field \(\mathbb Q(\root n\of a)\)
• Construction of integral basis. I
• On the structure of the irreducible polynomials over local fields
• Kummer theory for abelian varieties over local fields
• On saturated distinguished chains over a local field
• Valuation theory

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