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K2(Z[Z/5]) is generated by relations among 2×2 matrices

A. L-Theory And Algebraic K-Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 741)

Keywords

  • Galois Group
  • Multiplicative Function
  • Integral Unit
  • Cyclotomic Field
  • Euclidean Ring

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References

  1. Dennis, R.K. and Stein, M.R. K2 of radical ideals and semilocal rings revisited, in "Lecture Notes in Mathematics" Vol. 342, pp. 281–303, Springer Verlag, Berlin 1973.

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  2. Dunwoody, M. "K2(ℤπ) for π a group of order two or three" J. London Math. Soc. (2) 11 (1975) 481–490.

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  3. Dunwoody, M. "K2 of a Euclidean ring". J. of Pure & Applied Algebra 7 (1976) 53–58.

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  4. Van der Kallen. To appear.

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  5. Lenstra, H.W. "Euclid's algorithm in cyclotomic fields" J. London Math. Soc. (2), 10 (1975) 457–465.

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  6. Milnor, J. Introduction to Algebraic K-Theory, Ann. of Math. Studies 72, Princeton 1971.

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  7. Ouspenski, J. "Note sur les nombres entiers dépendent d'une racine cinquieme de l'unité" Math. Ann. 66 (1909) 109–112.

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  8. Snaith, V. These proceedings.

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© 1979 Springer-Verlag Berlin Heidelberg

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Sharpe, R.W. (1979). K2(Z[Z/5]) is generated by relations among 2×2 matrices. In: Hoffman, P., Snaith, V. (eds) Algebraic Topology Waterloo 1978. Lecture Notes in Mathematics, vol 741. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062138

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  • DOI: https://doi.org/10.1007/BFb0062138

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09545-3

  • Online ISBN: 978-3-540-35009-5

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