On the Galois module structure of ideals and rings of all integers of \({\mathfrak p}\)-adic number fields

DOI10.1006/JABR.1995.1320zbMath0834.11051OpenAlexW2053789818MaRDI QIDQ1904230

Yoshimasa Miyata

Publication date: 1 February 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1320

zbMATH Keywords

idealsramification groupcyclic Kummer extensionlocal Galois module structure

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15)

Related Items (2)

Integral Galois module structure for elementary abelian extensions with a Galois scaffold ⋮ On the invariant factors of Kummer orders in the rings of integers of \(\mathfrak p\)-adic number fields of degree \(p^ 2\)

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