On the Galois module structure of cyclic Kummer extensions

DOI10.1016/J.JALGEBRA.2008.06.034zbMath1179.11038OpenAlexW2036244368MaRDI QIDQ958634

Yoshimasa Miyata

Publication date: 5 December 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.06.034

zbMATH Keywords

free moduleGalois module structurelocal fieldisomorphism classStickelberger ideal

Mathematics Subject Classification ID

Integral representations (11S23) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Cites Work

• Maximal tame extensions over Hopf orders in rings of integers of \(\mathfrak p\)-adic number fields.
• Galois module structure of abelian extensions.
• Locally free modules over arithmetic orders.
• On the isomorphism class of the ring of all integers of a cyclic wildly ramified extension of degree p II
• On the module structure of rings of integers in p-adic number fields over associated orders
• Wildly Ramified Gamma Extensions
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