Characterisation of the Groups with the Gaschütz Cohomology Property

  • D. W. Barnes
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 372)

Abstract

In [3], Gaschütz showed that a finite p-group G has the property:

References

  1. [1]
    A. Babakhanian, “Cohomological triviality and finite p-nilpotent groups”, Arch. der Muth. 21 (1970), 40–42, MR416977.Google Scholar
  2. [2]
    Donald W. Barnes, “A functorial transfer theorem”, Math. 2. 118 (1970), 168–174. MR43357.Google Scholar
  3. [3]
    Wolfgang Gaschütz, “Kohomologische Trivialitäten und äussere Automorphismen von p-Gruppen”, Math. Z. 88 (1965), 432–433. 223314137Google Scholar
  4. [4]
    Karl W. Gruenberg, Cohomological topics in group theory (Lectures Notes in Mathematics, 143. Springer-Verlag, Berlin, Heidelberg, New York, 1970). MR434923.Google Scholar
  5. [5]
    K. Hoechsmann, P. Roquette and H. Zassenhaus, “A cohomological characterization of finite nilpotent groups”, Arch. der Math. 19 (1968), 225–244. MR372863.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1974

Authors and Affiliations

  • D. W. Barnes
    • 1
  1. 1.University of SydneySydneyAustralien

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