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Galois module structure ofpth-power classes of extensions of degreep

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Abstract

For fieldF of characteristic notp containing a primitivepth root of unity, we determine the Galois module structure of the group ofpth-power classes ofK for all cyclic extensionsK/F of degreep.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Middlesex College, University of Western Ontario, N6A 5B7, London, Ontario, Canada

    Ján Mináč

  2. Department of Mathematics, Davidson College, Box 7046, 28035, Davidson, NC, USA

    John Swallow

Authors
  1. Ján Mináč
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  2. John Swallow
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Additional information

Research supported in part by the Natural Sciences and Engineering Research Council of Canada and by the special Dean of Science Fund at the University of Western Ontario.

Supported by the Mathematical Sciences Research Institute, Berkeley.

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Mináč, J., Swallow, J. Galois module structure ofpth-power classes of extensions of degreep . Isr. J. Math. 138, 29–42 (2003). https://doi.org/10.1007/BF02783417

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  • DOI: https://doi.org/10.1007/BF02783417

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