Integral Galois module structure of some Lubin-Tate extensions

DOI10.1006/JNTH.1999.2385zbMath0937.11057OpenAlexW1974013335WikidataQ57918175 ScholiaQ57918175MaRDI QIDQ1125405

Nigel P. Byott

Publication date: 4 June 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2385

zbMATH Keywords

ramificationJacobi sumsassociated ordersLubin-Tate extensions

Mathematics Subject Classification ID

Integral representations (11S23) Ramification and extension theory (11S15) Class field theory; (p)-adic formal groups (11S31)

Related Items (7)

Galois structure in weakly ramified extensions of \(\mathbb Q\) ⋮ Explicit integral Galois module structure of weakly ramified extensions of local fields ⋮ Sufficient conditions for large Galois scaffolds ⋮ On the Galois module structure of the square root of the inverse different in abelian extensions ⋮ Power sums over subspaces of finite fields ⋮ On the square root of the inverse different ⋮ CONSTRUCTION OF SELF-DUAL INTEGRAL NORMAL BASES IN ABELIAN EXTENSIONS OF FINITE AND LOCAL FIELDS

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