Abstract
In [3], Gaschütz showed that a finite p-group G has the property:
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References
A. Babakhanian, “Cohomological triviality and finite p-nilpotent groups”, Arch. der Muth. 21 (1970), 40–42, MR416977.
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Wolfgang Gaschütz, “Kohomologische Trivialitäten und äussere Automorphismen von p-Gruppen”, Math. Z. 88 (1965), 432–433. 223314137
Karl W. Gruenberg, Cohomological topics in group theory (Lectures Notes in Mathematics, 143. Springer-Verlag, Berlin, Heidelberg, New York, 1970). MR434923.
K. Hoechsmann, P. Roquette and H. Zassenhaus, “A cohomological characterization of finite nilpotent groups”, Arch. der Math. 19 (1968), 225–244. MR372863.
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© 1974 Springer-Verlag Berlin Heidelberg
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Barnes, D.W. (1974). Characterisation of the Groups with the Gaschütz Cohomology Property. In: Newman, M.F. (eds) Proceedings of the Second International Conference on the Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21571-5_4
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DOI: https://doi.org/10.1007/978-3-662-21571-5_4
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