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Obstruction a l’Excision En K-Theorie Algebrique

Part of the Lecture Notes in Mathematics book series (LNM,volume 854)

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Bibliographie

  1. R. K. DENNIS and M. KRUSEMEYER: K2(A[x,y]/(xy)), a problem of Swan and related computations, J. Pure Applied Algebra 15 (1979), 125–148.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R. K. DENNIS and M. R. STEIN: K2 of radical ideals and semi-local rings revisited in: Algebraic K-Theory II, Lecture Notes in Math. 342 (Springer-Verlag, Berlin, 1973), 281–303.

    Google Scholar 

  3. S. M. GERSTEN: K3 of a ring is H3 of the Steinberg group, Proc. Amer. Math. Soc. 37 (1973), 366–368.

    MathSciNet  MATH  Google Scholar 

  4. D. KAHN and S. PRIDDY: Applications of the transfer to stable homotopy, Bull. A.M.S. 78 (1972), 981–987.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. M. KERVAIRE: Multiplicateurs de Schur et K-théorie dans "Essays in Topology and related topics", Mémoires dédiés à G. de Rahm, pp. 212–225, Springer Verlag, 1970.

    Google Scholar 

  6. F. KEUNE: The relativization of K2, J. Algebra 54 (1978), 159–177.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. R. LEE and R. H. SZCZARBA: The group K3(ℤ) is cyclic of order 48, Ann. Math. 104 (1976), 31–60.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. J.-L. LODAY: K-théorie algébrique et représentations de groupes, Ann. Sci. Ecole Norm. Sup. 9 (1976), 309–377.

    MathSciNet  MATH  Google Scholar 

  9. J.-L. LODAY: Les matrices monomiales et le groupe de Whitehead Wh2, dans "Alg. K-theory" (Evanston, 1976), Springer Lecture Notes 551 (1977), 155–163.

    Google Scholar 

  10. J.-L. LODAY: Cohomologie et groupe de Steinberg relatifs, J. Algebra 54 (1978), 178–202.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. J.-L. LODAY: Spaces with finitely many nontrivial homotopy groups (to appear).

    Google Scholar 

  12. H. MAAZEN and J. STIENSTRA: A presentation of K2 of split radical pairs, J. Pure Applied Algebra 10 (1977), 271–294.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. J. MILNOR: "Introduction to Algebraic K-theory", Annals of Math. Studies, no 72, Princeton Univ. Press, Princeton, N.J., 1971.

    MATH  Google Scholar 

  14. D. QUILLEN: Cohomology of groups, in "Actes Congres Intern. Math." 1970, t.2, p. 47–51.

    MathSciNet  Google Scholar 

  15. D. QUILLEN: Higher algebraic K-theory I, in Alg. K-theory I, Springer Lecture Notes 341 (1972), 85–147.

    MathSciNet  MATH  Google Scholar 

  16. D. QUILLEN: Letter from Quillen to Milnor on \(Im(\pi _i 0\xrightarrow{J}\pi _i^S \to K_i (\mathbb{Z}))\) in Alg. K-theory (Evanston 1976), Springer Lecture Notes 551 (1976), 182–188.

    MathSciNet  Google Scholar 

  17. M. STEIN: Relativizing functors on rings and algebraic K-theory, J. Alg. 19 (1971), 140–152.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. M. STEIN: Excision and K2 of group rings (preprint).

    Google Scholar 

  19. R. G. SWAN: Excision in Algebraic K-theory, J. Pure Applied Algebra 1 (1971), 221–252.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. J. H. C. WHITEHEAD: Combinatorial homotopy II, Bull. Amer. Math. Soc. 55 (1949), 453–496.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1981 Springer-Verlag

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Guin-Waléry, D., Loday, JL. (1981). Obstruction a l’Excision En K-Theorie Algebrique. In: Friedlander, E.M., Stein, M.R. (eds) Algebraic K-Theory Evanston 1980. Lecture Notes in Mathematics, vol 854. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089522

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  • DOI: https://doi.org/10.1007/BFb0089522

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