Realizable Hopf orders in \(KC_{p^3}\).

DOI10.1016/J.JALGEBRA.2008.02.029zbMath1148.16020OpenAlexW1974719189MaRDI QIDQ934058

Robert G. Underwood

Publication date: 29 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.02.029

zbMATH Keywords

group algebrascyclic groupsrealizabilityGalois modulesHopf ordersdiscrete valuation rings

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Group rings (16S34) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (1)

Primitively generated Hopf orders in characteristicp

Cites Work

• Unnamed Item
• Biinvertible actions of Hopf algebras
• Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring
• Hopf algebra orders determined by group valuations
• \(R\)-Hopf algebra orders in \(KC_{p^ 2}\)
• Monogenic Hopf orders and associated orders of valuation rings.
• Cleft extensions of Hopf algebras
• Realizable Hopf orders in KC_8
• Cyclic Hopf orders defined by isogenies of formal groups
• The valuative condition and R-Hopf algebra orders in KC p3
• Group schemes of prime order
• Duality for Hopf orders

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