Hopf orders in \(K [ C_p^3]\) in characteristic \(p\)

DOI10.1016/j.jalgebra.2021.12.031zbMath1496.16036arXiv2012.06540OpenAlexW4206089611MaRDI QIDQ2068189

Robert G. Underwood

Publication date: 19 January 2022

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

Full work available at URL: https://arxiv.org/abs/2012.06540

zbMATH Keywords

group schemeHopf orderprimitively generated Hopf algebra

Mathematics Subject Classification ID

Integral representations (11S23) Ramification and extension theory (11S15) Group schemes (14L15) Hopf algebras and their applications (16T05)

Cites Work

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• Finite group scheme extensions, and Hopf orders in \(KC_p^2\) over a characteristic \(p\) discrete valuation ring
• Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring
• Finite locally free group schemes in characteristic \(p\) and Dieudonné modules
• Fundamentals of Hopf algebras.
• New ramification breaks and additive Galois structure
• Sufficient conditions for large Galois scaffolds
• Primitively generated Hopf orders in characteristicp
• Group schemes of prime order

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