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An extension of Miyata's Theorem on the transfer map from the classgroup of a finite dihedral group to that of its cyclic maximal subgroup

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Integral Representations and Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 882))

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References

  • [F] A. Fröhlich, Locally free modules over arithmetic orders J. reine. angew. Math. 274/75 (1975), 112–138.

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  • [FKW] A. Fröhlich, M.E. Keating and S. M. J. Wilson, The Classgroups of quaternion and dihedral 2-groups, Mathematika 21 (1974) 64–71.

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  • [M] T. Miyata, Tohoku Math. Journ. 32 (1980), 49–62.

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  • [T1] M. J. Taylor, Galois module structure of relative abelian extensions, J. reine angew. Math., 303/304 (1978) 97–101.

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  • [T2] M. J. Taylor, On Fröhlich's conjecture for rings of integers of tame extensions, to appear.

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  • [W] S. M. J. Wilson, Reduced norms in the K-Theory of orders, J. Algebra, (46), 1 (1977), 1–11.

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Authors and Affiliations

  1. Department of Mathematics, University of Durham Science Laboratories, South Road, DH1 3LE, Durham

    S. M. J. Wilson

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  1. S. M. J. Wilson
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Klaus W. Roggenkamp

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© 1981 Springer-Verlag

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Wilson, S.M.J. (1981). An extension of Miyata's Theorem on the transfer map from the classgroup of a finite dihedral group to that of its cyclic maximal subgroup. In: Roggenkamp, K.W. (eds) Integral Representations and Applications. Lecture Notes in Mathematics, vol 882. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092497

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  • DOI: https://doi.org/10.1007/BFb0092497

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10880-1

  • Online ISBN: 978-3-540-38789-3

  • eBook Packages: Springer Book Archive

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