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References
[B-F] Bertrandias, F., Ferton, M.-J.: Sur l'anneau des entiers d'une extension cyclique de degré premier d'un corps local. C. R. Acad. Sc. Paris274 A1330-A1333 (1972)
[By] Byott, N.P.: Cleft extensions of Hopf algebras, II. Proc. London Math. Soc. (3)67 227–304 (1993)
[C] Childs, L.N.: Taming wild extensions with Hopf algebras. Trans. Am. Math. Soc.304 111–140 (1987)
[C-H] Childs, L.N., Hurley, S.: Tameness and local normal bases for objects of finite Hopf algebras. Trans. Am. Math. Soc.298 763–778 (1986)
[C-M] Childs, L.N., Moss, D.J.: Hopf algebras and local Galois module theory. In: J. Bergen, S. Montgomery: Advances in Hopf Algebras (Lect. Notes Pure and Appl. Math. Series, vol. 158, pp. 1–14) Basel: Dekker 1994
[C-R] Curtis, C.W., Reiner, I.: Methods of Representation Theory, Vol. 1, New York, Chichester, Brisbane, Toronto, Singapore: Wiley 1981
[Fe] Ferton, M.-J.: Sur les idéaux d'une extension cyclique de degré premier d'un corps local. C. R. Acad. Paris276 A1483-A1486 (1973)
[Fr] Fröhlich, A.: Local fields. In: J.W.S. Cassels, A. Fröhlich: Algebraic number theory London, San Diego, New York, Berkeley, Boston, Sydney, Tokyo, Toronto: Academic Press 1967.
[G] Greither, C.: Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring. Math. Z.210 37–67 (1992)
[L] Larson, R.G.: Hopf algebra orders determined by group valuations. J. Algebra38 414–452 (1976)
[L-S] Larson, R.G., Sweedler, M.E.: An associative orthogonal bilinear form for Hopf algebras. Am. J. Math.91 75–94 (1969)
[M-W] MacKenzie, R.E., Whaples, G.: Artin-Schreier equations in characteristic zero. Am. J. Math.78 473–485 (1956)
[M] McCulloh, L.R.: Galois module structure of abelian extensions. J. reine angew. Math.375/376 259–306 (1987)
[P] Pareigis, B.: When Hopf algebras are Frobenius algebras. J. Algebra18 588–596 (1971)
[Sc] Schneider, H.-J.: Cartan matrix of liftable finite group schemes. Comm. Algebra5 795–819 (1977)
[Se] Serre, J.-P.: Local fields (Graduate Texts in Mathematics67) New York, Heidelberg, Berlin: Springer 1979
[T-O] Tate, J., Oort, F.: Group schemes of prime order. Ann. Scient. Éc. Norm. Sup. 4e Série,3 1–21 (1970)
[T1] Taylor, M.J.: Formal groups and the Galois module structure of local rings of integers. J. reine angew. Math.358 97–103 (1985)
[T2] Taylor, M.J.: Hopf structure and the Kummer theory of formal groups. J. reine angew. Math.375/376 1–11 (1987)
[T3] Taylor, M.J.: Résolvandes et espaces homogènes principaux de schémas en groupes. Séminaire de Théorie des Nombres, Bordeaux2 255–271 (1990)
[T4] Taylor, M.J.: Hopf orders and Galois module structure. In: K.W. Roggenkamp, M.J. Taylor: Group Rings and Class Groups (DMV Seminar) Band18) Basel, Boston, Berlin: Birkhäuser 1992
[Wa] Waterhouse, W.C.: Normal basis implies Galois for coconnected Hopf algebras. Preprint (1992)
[We] Wenninger, C.H.: Corestriction of Galois algebras. J. Algebra144 359–370 (1991)
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Byott, N.P. Tame and galois extensions with respect to hopf orders. Math Z 220, 495–522 (1995). https://doi.org/10.1007/BF02572628
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DOI: https://doi.org/10.1007/BF02572628