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Integral Representations in the theory of finite CW-complexes

Part III

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Part of the Lecture Notes in Mathematics book series (LNM,volume 882)

Keywords

  • Exact Sequence
  • Fundamental Group
  • Homotopy Type
  • Elementary Subgroup
  • Spherical Space Form

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References

  1. W.H. Cockcroft, R.M.S. Moss: On the 2-dimensional realisability of chain complexes, J. London Math. Soc. (2) 11 (1975) 257–262.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M.J. Dunwoody, Relation modules, Bull. London Math. Soc. 4(1972)151–5.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. A. Frohlich, Module invariants & root numbers for quaternion fields of degree l r, Proc. Camb. Phil. Soc. 76(1974)393–9.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. S. Galovich, I. Reiner, S. Ullon, Class groups for integral representations of metacyclic groups, Mathematika 19, (1972) 105–111.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. P. Hall, Finiteness conditions for solvable groups, Proc. London Math. soc. (3) 4 (1954) 419–436.

    MathSciNet  MATH  Google Scholar 

  6. T.Y. Lam, Induction theorems for Grothendieck groups & Whitehead groups of finite groups, Ann. Sci. E.N.S. (4)1(1968)99–148.

    MathSciNet  Google Scholar 

  7. I. Madsen, C. Thomas, C.T.C. Wall, Topological spherical space form problem III: dimensional bounds & smoothing, to appear.

    Google Scholar 

  8. J. Milgram, The Swan finiteness obstruction for periodic groups, preprint, Stanford University, 1980.

    Google Scholar 

  9. G. Mislin, Wall's obstruction for nilpotent spaces, Topology 14 (1975) 311–317.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. G. Mislin, K. Varadarajan, The finitenese obstructions for nilpotent spaces lie in D(Z⌈), Inv. Math. 53(1979)185–191.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. R. Oliver, SK1 for finite group rings I, preprint, Aarhus University, 1979.

    Google Scholar 

  12. J. Rubinstein, Free actions of some finite groups on S3, Math. Annalen 240(1979)165–175.

    CrossRef  MATH  Google Scholar 

  13. R.G. Swan, Induced representations & projective modules, Ann. of Math. 71(1960)552–578.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. R.G. Swan, Periodic resolutions for finite groups, ibid, 72 (1960) 267–291.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. C.T.C. Wall, Finiteness conditions for CW-complexes, ibid. 81(1965) 56–69.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. C.T.C. Wall, Periodic projective resolutions, Proc. London Math. Soc. (3) 39 (1979) 509–533.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. C.B. Thomas, Homotopy classification of free actions by finite groups on S3, Proc. London Math. Soc. (3)40(1980) 384–397.

    Google Scholar 

  18. C.B. Thomas, Classification of free actions by some metacyclic groups on S2n−1, to appear in Ann. Sci. de l'E.N.S.

    Google Scholar 

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© 1981 Springer-Verlag

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Thomas, C.B. (1981). Integral Representations in the theory of finite CW-complexes. In: Roggenkamp, K.W. (eds) Integral Representations and Applications. Lecture Notes in Mathematics, vol 882. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092500

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  • DOI: https://doi.org/10.1007/BFb0092500

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  • Print ISBN: 978-3-540-10880-1

  • Online ISBN: 978-3-540-38789-3

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