On the isomorphism class of the ring of integers of a cyclic wildly ramified extension of degree p

DOI10.1016/0021-8693(88)90255-4zbMath0645.12003OpenAlexW2054785054MaRDI QIDQ1103003

Yoshimasa Miyata

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90255-4

zbMATH Keywords

Kummer theoryGalois module structurecubic extensionring of algebraic integers

Mathematics Subject Classification ID

Galois theory (11R32) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Class groups of group rings whose coefficients are algebraic integers
• Genera and decompositions of lattices over orders
• The module structure of Kummer extensions over Dedekind domains.
• Locally free modules over arithmetic orders.
• Wildly Ramified Gamma Extensions

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