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Cohomology of finite groups and brown-peterson cohomology II

Part of the Lecture Notes in Mathematics book series (LNM,volume 1418)

Keywords

  • Abelian Group
  • Finite Group
  • Spectral Sequence
  • Short Exact Sequence
  • Chern Class

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References

  1. A.Bahri, M.Bendersky D.Davis and P.Gilkey, The complex bordism of groups with periodic cohomology, to appear.

    Google Scholar 

  2. T. Diethelm, The mod pring of the nonabelian split metacyclic p-groups, Arch. Math. 44 (1985) 29–38.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. L. Evens and S. Priddy, The cohomology of the semi-dihedral group, Contemporary Math. 37 (1985) 61–72.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. M.Hopkins, N.Kuhn and D.Ravenel.

    Google Scholar 

  5. J.Hunton, The Morava K-theory of wreath product, preprint.

    Google Scholar 

  6. B.Huppert, Endliche Groupen I, Springer-Verlag 1966.

    Google Scholar 

  7. J.Huebschmann, The mod p cohomology rings of metacyclic groups, preprint.

    Google Scholar 

  8. _____, Chern classes for metacyclic groups, preprint.

    Google Scholar 

  9. D. Johnson and S. Wilson, BP-operations and Morava's K-theories, Math. Z. 144 (1975) 55–75.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. _____, Projective dimension and Brown-Peterson homology, Topology 12 (1973) 327–353.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. _____, The Brown-Peterson homology of elementary p-groups, Amer. J. Math. 107 (1985), 427–453.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. P.Landweber, Coference, flatness and cobordism of classifying spaces, Proc. Arhus Summer Institute of algebraic Topology, (1970) 256–269.

    Google Scholar 

  13. _____, Homological properties of comodules over MU*(MU) and BP*(BP), Amer. Math. 98 (1976) 591–610.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. E.Ossa, Connective K-theory of elementary abelian groups, preprint.

    Google Scholar 

  15. D.Ravenel, Complex cobordism and stable homotopy groups of shperes, Academic press. 1986.

    Google Scholar 

  16. M.Tezuka and N.Yagita, Cohomology of finite groups and the Brown-Peterson cohomology, preprint.

    Google Scholar 

  17. _____, The varities of the mod p cohomology rings of extra special p-groups for an odd prime, Math. Proc. Cambr. 94 (1983) 449–459.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. C.B. Thomas, Filtrations on the representation ring of a finite group, Contemporary Math. 19 (1983) 397–405.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. _____, Characteristic classes and the cohomology of finite groups, Cambridge Univ. press 1986.

    Google Scholar 

  20. _____, Riemann-Roch formulae for group representation, Matematika, 20 (1973), 253–262.

    CrossRef  MATH  Google Scholar 

  21. _____, Free actions by p-groups on products of spheres and Yagita's invariant po(G), preprint.

    Google Scholar 

  22. N. Yagita, On the dimension of spheres whose product admits a free action by a non abelian group, Quart. J. Math. 36 (1985), 117–127.

    CrossRef  MathSciNet  MATH  Google Scholar 

  23. _____, Equivariant BP-cohomology for finite groups, preprint.

    Google Scholar 

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Dedicated to Professor Hiroshi Toda on his 60-th birthday

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© 1990 Springer-Verlag Berlin Heidelberg

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Tezuka, M., Yagita, N. (1990). Cohomology of finite groups and brown-peterson cohomology II. In: Mimura, M. (eds) Homotopy Theory and Related Topics. Lecture Notes in Mathematics, vol 1418. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083692

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  • DOI: https://doi.org/10.1007/BFb0083692

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52246-1

  • Online ISBN: 978-3-540-46938-4

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