Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring

DOI10.1007/BF02571782zbMath0737.11038OpenAlexW2160498749MaRDI QIDQ811557

Cornelius Greither

Publication date: 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174387

zbMATH Keywords

cyclic extensionHopf Galois extension

Mathematics Subject Classification ID

Galois theory (11S20) Group actions on varieties or schemes (quotients) (14L30) Ramification and extension theory (11S15) Hopf algebras and their applications (16T05)

Related Items

Breuil–Kisin Modules and Hopf Orders in Cyclic Group Rings, Maximal tame extensions over Hopf orders in rings of integers of \(\mathfrak p\)-adic number fields., Sufficient conditions for large Galois scaffolds, Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications, Models of group schemes of roots of unity, Realizable Hopf orders in \(KC_{p^3}\)., Hopf orders via Breuil modules., Duality for Hopf orders, Hopf-Galois structures on almost cyclic field extensions of 2-power degree, Models of \(\mu _{p^{2},K}\) over a discrete valuation ring, p-ADIC ORDER BOUNDED GROUP VALUATIONS ON ABELIAN GROUPS, Tame realisable classes over Hopf orders, Hopf orders in \(K [ C_p^3\) in characteristic \(p\)], Isogenies of polynomial formal groups, The structure and realizability of R-hopf algebra orders in KC_p³, The Group of Galois Extensions Over Orders in 𝐾𝐶_{𝑝²}, Dual Hopf orders in group rings of elementary Abelian \(p\)-groups., Integral Hopf-Galois structures on degree \(p^2\) extensions of \(p\)-adic fields, Primitively generated Hopf orders in characteristicp

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