The associated orders of rings of integers in Lubin-Tate division fields over the \(p\)-adic number field

zbMath0816.11061MaRDI QIDQ1342693

Chong-Hai Lim, Shih-Ping Chan

Publication date: 12 January 1995

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Kummer extensionsring of integers\(p\)-adic fieldGalois moduleassociated orderLubin-Tate formal grouprelative cyclotomic extension

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Class field theory; (p)-adic formal groups (11S31)

Related Items (3)

Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications ⋮ Associated orders of certain extensions arising from Lubin-Tate formal groups ⋮ Lubin-Tate formal groups and module structure over Hopf orders

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