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Cohomology of finite groups and brown-peterson cohomology

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References

  1. M.F. Atiyah, Character and cohomology of finite groups, Publ. I.H.E.S. 9 (1964), 23–64.

    Article  MathSciNet  Google Scholar 

  2. W. Browder, Cohomology and group actions, Invt. Math. 71 (1983), 599–607.

    Article  MathSciNet  MATH  Google Scholar 

  3. H.Cartan and S.Eilenberg, "Homological algebra" Princeton Univ. Press 1956.

    Google Scholar 

  4. L. Evens, On the Chern class of representation of finite groups, Trans. Amer. Math. Soc. 115 (1965), 180–193.

    Article  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

  6. D. Johnson and S. Wilson, BP operations and Morava’s extraordinary K-theories, Math. Zeit. 144 (1975), 55–75.

    Article  MathSciNet  MATH  Google Scholar 

  7. G. Lewis, The integral cohomology ring of groups of order p3, Trans. Amer. Math. Soc. 132 (1968), 501–529.

    MathSciNet  Google Scholar 

  8. G.Nishida, Stable homotopy types of classifying spaces of finite groups, "Algebraic and Topological theories" to memory of T.Miyata, 1986 Kinokuniya Comp. Ltd.

    Google Scholar 

  9. D. Quillen, A cohomological criterion for p-nilpotency J. Pure and Appl. Algebra 4 (1971), 373–376.

    MathSciNet  Google Scholar 

  10. D. Quillen, The mod 2 cohomolgy ring of extra-special 2-groups and Spinor group, Math. Ann. 194 (1971), 197–223.

    Article  MathSciNet  MATH  Google Scholar 

  11. D. Ravenel, Morava K-theory and finite groups, contemporary Math. 12 (1982), 289–292.

    Article  MathSciNet  MATH  Google Scholar 

  12. C.B. Thomas, Chern classes of representations, Bull. London Math. Soc. 18 (1986), 225–240.

    Article  MathSciNet  MATH  Google Scholar 

  13. M. Tezuka and N. Yagita, The mod p cohomology ring of GL3(Fp), J. Algebra 81 (1983), 295–303.

    Article  MathSciNet  MATH  Google Scholar 

  14. M. Tezuka and N. Yagita, The varieties of the mod p cohomology rings of extra special p-groups for an odd prime p, Math. Proc. Camb. Phil. Soc. 94 (1983), 443–459.

    Article  MathSciNet  MATH  Google Scholar 

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Gunnar Carlsson Ralph Cohen Haynes Miller Douglas Ravenel

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© 1989 Springer-Verlag

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Tezuka, M., Yagita, N. (1989). Cohomology of finite groups and brown-peterson cohomology. In: Carlsson, G., Cohen, R., Miller, H., Ravenel, D. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085243

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  • DOI: https://doi.org/10.1007/BFb0085243

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51118-2

  • Online ISBN: 978-3-540-46160-9

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