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K-theory of noetherian group rings

Part of the Lecture Notes in Mathematics book series (LNM,volume 734)

Keywords

  • Normal Subgroup
  • Finite Group
  • Prime Ideal
  • Group Ring
  • Projective Module

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References

  1. H. BASS, Algebraic K-theory, Benjamin, New York, 1968.

    MATH  Google Scholar 

  2. D.R. FARKAS and R.L. SNIDER, Ko and Noetherian group rings, J. Algebra 42 (1976), 192–198.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. F.T. FARRELL and W.C. HSIANG, The topological — Euclidean space form problem, Inv. Math 45 (1978), 181–192.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. F.T. FARRELL and W.C. HSIANG, A formula for K1 Rα[T], Proc. Symp. Pure Math. vol. 17, (1970), 192–198.

    CrossRef  MathSciNet  Google Scholar 

  5. R. GORDON and J.C. ROBSON, Krull dimension, Mem. Amer. Math. Soc. 133, (1973).

    Google Scholar 

  6. K.W. GRUENBERG, Relation modules of finite groups, Regional Conference Series in Math. No 25, Amer. Math. Soc., 1976.

    Google Scholar 

  7. P. HALL, Finiteness conditions for solvable groups, Proc. London Math. Soc. 4(1954), 419–436.

    MathSciNet  MATH  Google Scholar 

  8. G. KRAUSE, T.H. LENAGAN and J.T. STAFFORD, Ideal invariance and Artinian quotient rings, J. Algebra, to appear.

    Google Scholar 

  9. T.H. LENAGAN, Noetherian rings with Krull dimension one, J. London Math. Soc. 15 (1977), 41–47.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. P.A. LINNELL, Zero divisors and idemptotents in group rings, Proc. Camb. Phil. Soc. 81 (1977), No. 3, 365–368.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. B.J. MUELLER, Localisation in non-commutative Noetherian rings, Can. J. Math. 28 (1976), 600–610.

    CrossRef  Google Scholar 

  12. D.S. PASSMAN, The algebraic structure of infinite group rings, Interscience, 1977.

    Google Scholar 

  13. J. E. ROSEBLADE, Prime ideals in group rings of polycyclic groups, Proc. London Math. Soc., 36 (1978), 385–447.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. D. SEGAL, The residual simplicity of certain modules, Proc. London Math. Soc. 34 (1977), 327–353.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. P.F. SMITH, On the dimension of group rings, Proc. London Math. Soc. 25 (1972), 288–302; Corrigendum, ibid.27 (1973), 766–768.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. P.F. SMITH, Localisation and the AR property, Proc. London Math. Soc. 22 (1971), 39–68.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. J.T. STAFFORD, Stable structure of noncommutative Noetherian rings, J. Algebra 47 (1977), 244–267.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. J.T. STAFFORD, Stable structure of noncommutative Noetherian rings II, J. Algebra, 52 (1978) 218–235.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. R.G. SWAN, Algebraic K-theory, Lecture Notes in Math. No 76, Springer-Verlag, Berlin / New York, 1968.

    MATH  Google Scholar 

  20. R.G. SWAN, K-theory of finite groups and orders, Lecture Notes in Math. No 149, Springer-Verlag, Berlin / New York, 1970.

    MATH  Google Scholar 

  21. R.G. SWAN, Projective modules over Laurent polynomial rings, Trans. Amer. Math. Soc. 237 (1978), 111–121.

    CrossRef  MathSciNet  MATH  Google Scholar 

  22. R.G. SWAN, Groups of cohomological dimension one, J. Algebra 12 (1969), 585–601.

    CrossRef  MathSciNet  MATH  Google Scholar 

  23. L. N. VASERSTEIN, On the stabilization of the general linear group over a ring, Mat. Sb. 79 (121) (1969), 405–424; translated as Math. USSR Sb. 8 (1969), 383–400.

    MathSciNet  Google Scholar 

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© 1979 Springer-Verlag

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Stafford, J.T. (1979). K-theory of noetherian group rings. In: Handelman, D., Lawrence, J. (eds) Ring Theory Waterloo 1978 Proceedings, University of Waterloo, Canada, 12–16 June, 1978. Lecture Notes in Mathematics, vol 734. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103165

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  • DOI: https://doi.org/10.1007/BFb0103165

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