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On the Λ-algebra and the homology of symmetric groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1286)

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  • Vector Space
  • Exact Sequence
  • Free Module
  • Homotopy Group
  • Natural Isomorphism

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Bibliography

  1. A. K. Bousfield, E. B. Curtis, D. M. Kan, D. G. Quillen, D. L. Rector and J. W. Schlesinger, The mod-p lower central series and the Adams spectral sequence, Topology 5 (1966), 331–342.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. E. B. Curtis, Some relations between homotopy and homology, Annals of Math 83 (1965), 386–413.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. E. B. Curtis, Simplicial homotopy theory, Aarhus University Lecture Notes (1967).

    Google Scholar 

  4. E. B. Curtis, Simplicial homotopy theory, Advances in Math 6 (1971), 107–209.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. A. Dold, Homology of symmetric products and other functors of complexes, Annals of Math 68 (1958), 54–80.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M. Hall, A basis for free Lie rings and higher commutators in free groups, Proc. A.M.S. 1 (1950), 575–581.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. D. M. Kan, Semisimplicial spectra, Ill. Jour. Math. 7 (1963), 463–478.

    MathSciNet  MATH  Google Scholar 

  8. D. M. Kan, Functors involving c.s.s. complexes, Trans. A.M.S. 87 (1958), 330–346.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. D. M. Kan, A combinatorial definition of homotpy groups, Annals of Math 67 (1958), 282–312.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. D. M. Kan and G. W. Whitehead, The reduced join of two spectra, Topology 3, Suppl. 2 (1965), 239–261.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. J. C. Moore, Seminar on algebraic homotopy theory, Princeton University Lecture Notes (1956).

    Google Scholar 

  12. D. L. Rector, An unstable Adams spectral sequence, Topology 5 (1966), 343–346.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. R. Steinberg, Prime power representations of finite linear groups, Canadian Jour. Math. 8 (1956), 580–591.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1987 Springer-Verlag

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Singer, W.M. (1987). On the Λ-algebra and the homology of symmetric groups. In: Miller, H.R., Ravenel, D.C. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078749

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  • DOI: https://doi.org/10.1007/BFb0078749

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18481-2

  • Online ISBN: 978-3-540-47986-4

  • eBook Packages: Springer Book Archive