Hopf orders and a generalization of a theorem of L. R. McCulloh

DOI10.1006/jabr.1995.1305zbMath0838.16009OpenAlexW2032705245WikidataQ57918066 ScholiaQ57918066MaRDI QIDQ1903023

Nigel P. Byott

Publication date: 17 April 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1305

zbMATH Keywords

ordersGalois groupsalgebraic number fieldslocally free class groupsStickelberger idealsdual Hopf ordersflat cohomology groupssemilocal principal homogeneous spacestame finite normal extensions

Mathematics Subject Classification ID

Group rings (16S34) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (4)

Realizable Galois module classes over the group ring for non abelian extensions ⋮ Two constructions with galois objects ⋮ Sequences of Hopf-Swan subgroups. ⋮ Tame realisable classes over Hopf orders

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