Non-triviality of Tate cohomology for certain classes of finite p-groups |
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| Authors: | Alireza Abdollahi Maria Guedri |
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| Affiliation: | 1. Department of Mathematics, University of Isfahan, Isfahan, Iran;2. School of Mathematics Institute for Research in Fundamental Sciences (IPM), Tehran, Iran;3. Department of Mathematics, University Constantine I, Constantine, Algeria |
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| Abstract: | We prove that the Tate cohomology groups ?n(G∕Φ(G),Z(Φ(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(Φ(G)). This confirms a conjecture of Schmid for these groups. |
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| Keywords: | Finite p-groups group cohomology |
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