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A cohomological characterization of finite nilpotent groups. (English) Zbl 0157.05602

Keywords:
group theory
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[1] C. Chevalley, Class field theory, Nagoya University, Nagoya, 1954. · Zbl 0059.03304
[2] Wolfgang Gaschütz, Kohomologische Trivialitäten und äussere Automorphismen von \?-Gruppen, Math. Z. 88 (1965), 432 – 433. · Zbl 0199.06302
[3] G. Hochschild and J.-P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953), 110 – 134. · Zbl 0050.02104
[4] Ladislaus Rédei, Die endlichen einstufig nichtnilpotenten Gruppen, Publ. Math. Debrecen 4 (1956), 303 – 324 (German). · Zbl 0075.24003
[5] Jean-Pierre Serre, Cohomologie galoisienne, With a contribution by Jean-Louis Verdier. Lecture Notes in Mathematics, No. 5. Troisième édition, vol. 1965, Springer-Verlag, Berlin-New York, 1965 (French). · Zbl 0812.12002
[6] E. Weiss, A deflation map, J. Math. Mech. 8 (1959), 309 – 329. · Zbl 0086.02303
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