Some Hopf Galois structures arising from elementary abelian $p$-groups

DOI10.1090/S0002-9939-07-08888-0zbMath1128.16022OpenAlexW2002619214MaRDI QIDQ5308109

Lindsay N. Childs

Publication date: 27 September 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08888-0

zbMATH Keywords

Galois extensionsHopf algebrasseparable field extensionsHopf Galois structuresfield extensionselementary Abelian \(p\)-groupsregular embeddings

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Formal groups, (p)-divisible groups (14L05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (2)

Fixed-point free endomorphisms and Hopf Galois structures ⋮ Abelian Hopf Galois structures on prime-power Galois field extensions

Cites Work

• Elementary Abelian Hopf Galois structures and polynomial formal groups.
• Hopf Galois theory for separable field extensions
• Abelian Hopf Galois structures on prime-power Galois field extensions
• Uniqueness of hopf galois structure for separable field extensions
• Unnamed Item

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