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Topics in Algebra pp 52–69Cite as

Integral representations: Genus, k-theory and class groups

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 697))

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References

  1. Charles W. Curtis, Irving Reiner, Representation Theory of Finite Groups and Associative Algebras (Pure and Applied Mathematics, 11. Interscience [John Wiley & Sons], New York, London, 1962).

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  2. T.Y. Lam and M.K. Siu, "K 0 and K 1 — an introduction to algebraic K-theory", Amer. Math. Monthly 82 (1975), 329–364.

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  3. John Milnor, Introduction to Algebraic K-Theory (Annals of Mathematics Studies, 72. Princeton University Press, Princeton, New Jersey; University of Tokyo Press, Tokyo; 1971).

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  4. I. Reiner, Maximal Orders (London Mathematical Society Monographs, 5. Academic Press [Harcourt Brace Jovanovich], London, New York, San Francisco, 1975).

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  5. Irving Reiner, Class Groups and Picard Groups of Group Rings and Orders (Conference Board of the Mathematical Sciences Regional Conference Series, Mathematics, 26. Amer. Math. Soc., Providence, Rhode Island, 1976).

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  6. Irving Reiner, "Topics in integral representation theory", Proc. Sao Paulo School of Algebra, 1976 (Lecture Notes in Mathematics. Springer-Verlag, Berlin, Heidelberg, New York, to appear).

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  7. Klaus W. Roggenkamp, Lattices over Orders II (Lecture Notes in Mathematics, 142. Springer-Verlag, Berlin, Heidelberg, New York, 1970).

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  8. Klaus W. Roggenkamp and Verena Huber-Dyson, Lattices over Orders I (Lecture Notes in Mathematics, 115. Springer-Verlag, Berlin, Heidelberg, New York, 1970).

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  9. Richard G. Swan, K-theory of finite groups and orders (notes by E. Graham Evans. Lecture Notes in Mathematics, 149. Springer-Verlag, Berlin, Heidelberg, New York, 1970).

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  10. Stephen V. Ullom, "A survey of class groups of integral group rings", Algebraic Number Fields: L-Functions and Galois Properties (Proc. Sympos. Univ. Durham, Durham, 1975, 497–524. Academic Press, New York, London, 1977).

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, Urbana, Illinois, USA

    Irving Reiner

Authors
  1. Irving Reiner
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M. F. Newman J. S. Richardson

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© 1978 Springer-Verlag

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Reiner, I. (1978). Integral representations: Genus, k-theory and class groups. In: Newman, M.F., Richardson, J.S. (eds) Topics in Algebra. Lecture Notes in Mathematics, vol 697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103122

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  • DOI: https://doi.org/10.1007/BFb0103122

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09103-5

  • Online ISBN: 978-3-540-35549-6

  • eBook Packages: Springer Book Archive

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