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The finiteness obstructions for nilpotent spaces lie inD(ℤ π)

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References

  1. Brown, K.S., Dror, E.: The Artin-Rees property and homology: Israel Journal of Mathematics,22, 93–109 (1975)

    Google Scholar 

  2. Endo, S., Miyata, T.: On the projective class group of finite groups: Osaka J. of Math.,13, 109–122 (1976)

    Google Scholar 

  3. Fröhlich, A., Keating, M.E., Wilson, S.M.J.: The class groups of quaternion and dihedral 2-groups; Mathematika,21, 64–71 (1974)

    Google Scholar 

  4. Feit, W.: Characters of finite groups, New York: W. A. Benjamin Inc. 1967

    Google Scholar 

  5. Godement, R.: Topologie algébrique et théorie des faisceaux, Hermann, Paris 1958

    Google Scholar 

  6. Hasse, H.: Über die Klassenzahl Abelscher Zahlkörper; Berlin: Akademie-Verlag 1952

    Google Scholar 

  7. Hilton, P.J., Mislin, G., Roitberg, J.: Localization of nilpotent groups and spaces; Mathematics Studies 15, Amsterdam: North-Holland Publishing Company 1975

    Google Scholar 

  8. Mislin, G.: Wall's obstruction for nilpotent spaces; Topology14, 311–317 (1975)

    Google Scholar 

  9. Mislin, G.: Finitely dominated nilpotent spaces; Annals of Math.103, 547–556 (1976)

    Google Scholar 

  10. Mislin, G.: The geometric realization of Wall obstructions by nilpotent and simple spaces; preprint

  11. Reiner, I., Ullom, S.: A Mayer-Vietoris sequence for class groups; J. Alg.31, 305–342 (1974)

    Google Scholar 

  12. Ullom, S.: The exponent of class groups; J. Alg.29, 124–132 (1974)

    Google Scholar 

  13. Varadarajan, K.: Finiteness obstruction for nilpotent spaces; J. Pure and Appl. Algebra,12, 137–146 (1978)

    Google Scholar 

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Research done while the second author was partially supported by NRC grant A 8225

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Mislin, G., Varadarajan, K. The finiteness obstructions for nilpotent spaces lie inD(ℤ π). Invent Math 53, 185–191 (1979). https://doi.org/10.1007/BF01390032

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  • DOI: https://doi.org/10.1007/BF01390032

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