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A remark on class groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 549)

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References

  1. H. Cohn: A second course in number theory, John Wiley & Sons, Inc., New York, 1962.

    MATH  Google Scholar 

  2. R. Dedekind: Über die Anzahl der Ideal-Klassen in den verschiedenen Ordnungen eines endlichen Körpers, Festschrift der Technischen Hochschule in Braunschweig zur Säukularfeier des Geburtstages von C. F. Gauss, Braunschweig, 1877, 1–55; also Gesammelte mathematische Werke I, 105–157.

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  3. A. Fröhlich: On the classgroup of integral grouprings of finite abelian groups, Mathematika 16(1969), 143–152.

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  4. H. Jacobinski: Genera and decompositions of lattices over orders, Acta Math. 121 (1968), 1–29.

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  5. I. Reiner and S. Ullom: Class groups of integral group rings, Trans. Amer. Math. Soc. 170 (1972), 1–30.

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  6. S. Ullom: The Δ-decomposition of the class group of cyclic p-groups, Notices Amer. Math. Soc. 23 (1976), A–57–A–58.

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© 1976 Springer-Verlag

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Gustafson, W.H. (1976). A remark on class groups. In: Zelinsky, D. (eds) Brauer Groups. Lecture Notes in Mathematics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077336

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  • DOI: https://doi.org/10.1007/BFb0077336

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07989-7

  • Online ISBN: 978-3-540-37978-2

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