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A homological spectral sequence of group products

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Abstract

In this paper the “residual complex” is defined when a group and its subgroups act on a complex. With its aid a homological spectral sequence of group products is given. And the author makes a concentrated study of the structure of the residual complex and proves that it becomes a clear “step complex” if the group can be expressed as an amalgamated free product of its subgroups.

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References

  1. Brown, K., Cohomology of Groups, Springer-Verlag, 1982.

  2. Gruenberg, K., Cohomological Topics of Group Theory, Springer-Verlag, 1970.

  3. Lyndon, R. and Schupp, P., Combinatorial Group Theory, Springer-Verlag, 1977.

  4. Serre, J.-P., Trees, Springer-Verlag, 1980.

  5. Soulé, C., The Cohomology of SL (3,\(ZZ\)), Topology.,17 (1978), 1–22.

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Authors and Affiliations

  1. Department of Mathematics, Shaanxi Normal University, Shaanxi, China

    Li Zunxian

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  1. Li Zunxian
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Project supported by the National Natural Science Foundation of China

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Zunxian, L. A homological spectral sequence of group products. Acta Mathematica Sinica 8, 177–183 (1992). https://doi.org/10.1007/BF02629937

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  • DOI: https://doi.org/10.1007/BF02629937

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