References
Cassou-Noguès, P., Taylor, M.: Elliptic functions and rings of integers. (Prog. Math., vol. 66) Basel: Birkhäuser 1986
Chase, S.U., Sweedler, M.: Hopf algebras and Galois theory. (Lect. Notes Math., vol. 97) Berlin Heidelberg New York: Springer 1969
Childs, L.: Taming wild extensions with Hopf algebras. Trans. Am. Math. Soc.304, 111–140 (1987).
Childs, L.: On the Hopf Galois theory of separable extensions. Commun. Algebra17, 809–825 (1989)
Demazure, M., Gabriel, P.: Groupes algèbriques. Paris: Masson 1970
Edwards, H.: Galois theory. Berlin Heidelberg New York: Springer 1984
Hurley, S.: Galois objects with normal basis for free Hopf algebras of prime degree. J. Algebra109, 292–318 (1987)
Larson, R.G.: Orders in Hopf algebras. J. Algebra22, 201–210 (1972)
MacLane, S.: Homology. Berlin Heidelberg New York: Springer 1963
Maus, E.: Arithmetisch disjunkte Körper. J. Reine Angew. Math.226, 184–203 (1967)
Milne, J.S.: Etale cohomology. Princeton: Princeton University Press 1980
Milne, J.S.: Arithmetic duality theorems. Boston: Academic Press 1986
Raynaud, M.: Schémas en groupes de type (p, ..., p). Bull. Soc. Math. Fr.102, 241–280 (1974)
Roberts, L.: The flat cohomology of group schemes of orderp. Am. J. Math.95, 688–702 (1973)
Schneider, H.-J.: Endliche algebraische Gruppen. Habilitationsschrift, Universität München (1973)
Schneider, H.-J.: Zerlegbare Erweiterungen affiner Gruppen. J. Algebra66, 569–593 (1979)
Serre, J.-P.: Corps locaux. Paris: Hermann 1962
Shatz, S.S.: Principal homogeneous spaces for finite group schemes. Proc. Am. Math. Soc.22, 678–680 (1968)
Tate, J.:p-divisible groups. In: Proceedings of a Conf. on Local Fields, pp. 158–183. Driebergen Berlin Heidelberg New York: Springer 1967
Tate, J., Oort, F.: Group schemes of prime order. Ann. Sci. Ec. Norm. Supér.3, 1–21 (1970)
Waterhouse, W.: Principal homogeneous spaces and group scheme extensions. Trans. Am. Math. Soc.153, 181–188 (1971)
Waterhouse, W.: A unified Kummer-Artin-Schreier sequence. Math. Z.87, 447–451 (1987)
Wenninger, C.-H.: Galois-Algebren zu Hopf-Algebren und verallgemeinerte Quaternionen. Dissertation, Universität München (1988)
Wenninger, C.-H.: Corestriction of Galois algebras. J. Algebra144, 359–370 (1991)
Wyman, B.F.: Wildly ramified Gamma extensions. Am. J. Math.91, 135–152 (1969)
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Greither, C. Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring. Math Z 210, 37–67 (1992). https://doi.org/10.1007/BF02571782
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DOI: https://doi.org/10.1007/BF02571782