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Principal homogeneous spaces and group scheme extensions. (English) Zbl 0208.48401


MSC:

14L15 Group schemes
14M17 Homogeneous spaces and generalizations
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[1] S. U. Chase and Alex Rosenberg, Amitsur cohomology and the Brauer group, Mem. Amer. Math. Soc. No. 52 (1965), 34 – 79. · Zbl 0143.06001
[2] Stephen U. Chase and Moss E. Sweedler, Hopf algebras and Galois theory, Lecture Notes in Mathematics, Vol. 97, Springer-Verlag, Berlin-New York, 1969. · Zbl 0197.01403
[3] M. Demazure, A. Grothendieck et al., Schémas en groupes. Fasc. 1, Exposés 1 à 4, Séminaire de Géometrie Algébrique, 1963, Inst. Hautes Études Sci., Paris, 1963/64. MR 34#7517.
[4] H. Epp, Commutative group schemes, Harrison’s theorem, and Galois extensions, Thesis, Northwestern University, 1966, Dissertation Abstracts 27 B (1967). Abstract #3595.
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[7] A. Grothendieck, Revêtements étales et groupe fondamental. Fase. 2, Exposé 8, Séminaire de Géometrie Algébrique, 1960/61, Inst. Hautes Études Sci., Paris, 1963. MR 36 #179b.
[8] F. Oort, Commutative group schemes, Lecture Notes in Mathematics, vol. 15, Springer-Verlag, Berlin-New York, 1966. · Zbl 0216.05603
[9] Stephen S. Shatz, Principal homogeneous spaces for finite group schemes, Proc. Amer. Math. Soc. 22 (1969), 678 – 680. · Zbl 0186.54701
[10] J. Verdier, Cohomologie étale des schémas, Séminaire de Géométrie Algébrique, 1963, Inst. Hautes Études Sci., Paris, 1963/64.
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