On the invariant factors of Kummer orders in the rings of integers of \(\mathfrak p\)-adic number fields of degree \(p^ 2\)

DOI10.1006/jnth.1997.2170zbMath0886.11066OpenAlexW2071856362MaRDI QIDQ1372598

Yoshimasa Miyata

Publication date: 18 November 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2170

zbMATH Keywords

Galois modulesramificationKummer orderKummer extension of local fields

Mathematics Subject Classification ID

Integral representations (11S23) Ramification and extension theory (11S15)

Related Items

On Galois structure of the integers in elementary abelian extensions of local number fields

Cites Work

• Galois module structure of ideals in wildly ramified cyclic extensions of degree \(p^ 2\)
• On the Galois module structure of ideals and rings of all integers of \({\mathfrak p}\)-adic number fields
• The module structure of Kummer extensions over Dedekind domains.
• Wildly Ramified Gamma Extensions
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