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

DOI10.1016/J.JNT.2006.12.005zbMath1185.11068OpenAlexW2058729841MaRDI QIDQ996208

Yoshimasa Miyata

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.12.005

zbMATH Keywords

free modules over associated orderisomorphism class of rings of integersKummer extensions over local fields

Mathematics Subject Classification ID

Galois theory (11S20) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Cites Work

• On the invariant factors of Kummer orders in the rings of integers of \(\mathfrak p\)-adic number fields of degree \(p^ 2\)
• Tame and Galois extensions with respect to Hopf orders
• Galois Module Structure of the Integers in Wildly Ramified C_p × C_p Extensions
• On the module structure of rings of integers in p-adic number fields over associated orders
• Wildly Ramified Gamma Extensions
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