Mathematische Zeitschrift

, Volume 179, Issue 1, pp 11–42

G-CW-surgery andK0(ℤG)

  • Robert Oliver
  • Ted Petrie
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Assadi, A.: Finite group actions on simply connectedCW-complexes and manifolds. Thesis, Princeton University 1978Google Scholar
  2. 2.
    Atiyah, M.: Characters and cohomology of finite groups. Inst. Hautes Études Sci. Publ. Math.9, 23–64 (1961)Google Scholar
  3. 3.
    Atiyah, M., Segal, G.: EquivariantK-theory and completion. J. Differential Geometry3, 1–18 (1969)Google Scholar
  4. 4.
    Bass, H.: AlgebraicK-theory. New York-Amsterdam: Benjamin 1968Google Scholar
  5. 5.
    Bredon, G.: Equivariant, cohomology theories. Lecture Notes in Mathematics34, Berlin-Heidelberg-New York: Springer 1967Google Scholar
  6. 6.
    tom Dieck, T.: The Burnside ring of a compact Lie group I. Math. Ann.215, 235–250 (1975)Google Scholar
  7. 7.
    Edmonds, A., Lee, R.: Fixed point sets of group actions on Euclidean space. Topology14, 339–345 (1975)Google Scholar
  8. 8.
    Milnor, J.: Whitehead torsion. Bull. Amer. Math. Soc.72, 358–426 (1966)Google Scholar
  9. 9.
    Milnor, J.: Introduction to algebraicK-theory. Annals of Mathematics Studies72. Princeton, New Jersey: Princeton University Press 1971Google Scholar
  10. 10.
    Nakayama, T.: Modules of trivial cohomology over a finite group II. Nagoya Math. J.12, 171–176 (1957)Google Scholar
  11. 11.
    Oliver, R.: Fixed-point sets of group actions on finite acyclic complexes. Comment. Math. Helv.50, 155–177 (1975)Google Scholar
  12. 12.
    Oliver, R.:G-actions on disks and permutation representations. J. Algebra50, 44–62 (1978)Google Scholar
  13. 13.
    Oliver, R.: Subgroups generatingD(ℤG). J. Algebra55, 43–57 (1978)Google Scholar
  14. 14.
    Petrie, T.:G-maps and the projective class group. Comment. Math. Helv.51, 611–626 (1976)Google Scholar
  15. 15.
    Petrie, T.:G-surgery I-A survey. In: Algebraic and Geometric Topology. Proceedings of a Symposium (Santa Barbara 1977), pp. 196–233. Lecture Notes in Mathematics664. Berlin-Heidelberg-New York: Springer, 1978Google Scholar
  16. 16.
    Petrie, T., Dovermann, K.H.:G-surgery II. PreprintGoogle Scholar
  17. 17.
    Petrie, T.: Pseudoequivalences ofG-manifolds. In: Algebraic and Geometric Topology. Proceedings of a Symposium (Stanford 1976), pp. 169–210. Proceedings of Symposia in Pure Mathematics32, Part I. Providence, Rhode Island: American Mathematical Society 1978Google Scholar
  18. 18.
    Quinn, F.: Finite abelian group actions on finite complexes. PreprintGoogle Scholar
  19. 19.
    Reiner, I., Ullom, S.: A Mayer-Vietoris sequence for class groups. J. Algebra31, 305–342 (1974)Google Scholar
  20. 20.
    Rim, D.: Modules over finite groups. Ann. of Math (2)69, 700–712 (1959)Google Scholar
  21. 21.
    Spanier, E.: Algebraic topology. New York-London-Sydney: McGraw Hill 1966Google Scholar
  22. 22.
    Swan, R.: Induced representations and projective modules. Ann. of Math. (2)71, 552–578 (1960)Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Robert Oliver
    • 1
  • Ted Petrie
    • 2
  1. 1.Matematisk InstitutAarhus CDanmark
  2. 2.Department of MathematicsRutgers UniversityNew BrunswickUSA

Personalised recommendations