The structure of Ω*(Zp), p an odd prime

  • P. E. Conner
  • E. E. Floyd
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 33)

Abstract

We begin now our study of maps of odd prime period. The primary problem is to compute the structure of the group Ω n (Z p ) of bordism classes [T, M n ] where T is a fixed point free orientation preserving diffeomorphism of period p on the closed oriented manifold M n . The bordism spectral sequence of B(Z p ) is trivial, and this gives the order of the reduced groups \(\tilde \Omega _n \left( {Z_p } \right)\). To obtain the precise structure is harder. It is solved here by geometric methods using certain maps of period p on P p-1 (C) with isolated fixed points. We obtain finally in (36.5) the complete additive structure of Ω*(Z p ). We go on in section 37 to study Ω*(Z pk ).

Keywords

Filtration Manifold 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1964

Authors and Affiliations

  • P. E. Conner
    • 1
  • E. E. Floyd
    • 1
  1. 1.University of VirginiaCharlottesvilleUSA

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