On the necessity of new ramification breaks

DOI10.1016/j.jnt.2008.07.011zbMath1196.11156arXiv0704.3951OpenAlexW1982476776WikidataQ57937566 ScholiaQ57937566MaRDI QIDQ2378046

Nigel P. Byott, Gove Griffith Elder

Publication date: 6 January 2009

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

Full work available at URL: https://arxiv.org/abs/0704.3951

zbMATH Keywords

local fieldsvaluation ringsintegral representationGalois module structurerefined ramification breaksLower ramification numbers

Mathematics Subject Classification ID

(p)-adic representations of finite groups (20C11) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Ramification and extension theory (11S15)

Related Items (1)

Indices of inseparability and refined ramification breaks

Cites Work

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• On Galois structure of the integers in cyclic extensions of local number fields
• Galois module structure of ideals in wildly ramified cyclic extensions of degree \(p^ 2\)
• New ramification breaks and additive Galois structure
• On wild ramification in quaternion extensions
• Biquadratic Extensions with One Break
• Galois scaffolding in one-dimensional elementary abelian extensions
• A valuation criterion for normal bases in elementary abelian extensions
• Wildly Ramified Gamma Extensions
• Galois module structure of rings of integers

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