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Symmetric cohomology of groups in low dimension

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Abstract

We give an explicit characterization for group extensions that correspond to elements of the symmetric cohomology HS 2(G, A). We also give conditions for the map HS n(G, A) → H n(G, A) to be injective.

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References

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Author notes

  1. Mihai D. Staic

    Present address: Institute of Mathematics of the Romanian Academy, P.O. BOX 1-764, 70700, Bucharest, Romania

Authors and Affiliations

  1. Department of Mathematics, Indiana University, Rawles Hall, Bloomington, IN, 47405, USA

    Mihai D. Staic

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  1. Mihai D. Staic
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Correspondence to Mihai D. Staic.

Additional information

Research partially supported by the CNCSIS project “Hopf algebras, cyclic homology and monoidal categories”, contract no. 560/2009.

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Staic, M.D. Symmetric cohomology of groups in low dimension. Arch. Math. 93, 205–211 (2009). https://doi.org/10.1007/s00013-009-0039-y

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  • DOI: https://doi.org/10.1007/s00013-009-0039-y

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