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“School of Mathematics”

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Paper   IPM / M / 14996
School of Mathematics
  Title:   Non-triviality of Tate cohomology for certain classes of finite p-groups
  Author(s):  Alireza Abdollahi (Joint with M. Guedri and Y. Guerboussa)
  Status:   Published
  Journal: Comm. Algebra
  Year:  2017
  Pages:   DOI: 10.1080/00927872.2017.1298773
  Supported by:  IPM
  Abstract:
We prove that the Tate cohomology groups H^n(G/Phi(G), Z(Phi(G))) are non-trivial, whenever G is a finite p-group of class 3, or the pth term of the upper central series of G contains Z(Phi(G)). This confirms a conjecture of Schmid for these groups.

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