Galois module structure of the integers in wildly ramified cyclic extensions

DOI10.1006/jnth.1994.1031zbMath0801.11046OpenAlexW1996319616MaRDI QIDQ1323858

Manohar L. Madan, Gove Griffith Elder

Publication date: 5 December 1994

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

Full work available at URL: https://semanticscholar.org/paper/e20afc010376496d56fbc49caf8d1d64939cb037

zbMATH Keywords

Galois module structurering of integerswild extensionsexplicit descriptionstotally ramified cyclic extensions

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Other abelian and metabelian extensions (11R20)

Related Items

Galois module structure of ideals in wildly ramified cyclic extensions of degree \(p^ 2\), Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications, On Galois structure of the integers in cyclic extensions of local number fields