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Note on the rings of integers of certain tame 2-galois extensions over a number field

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Abstract

For a number fieldF, we prove that any tame D4-extensionN/F has a normal integral basis (NIB) if and only if any tame (2, 2)-extensionK/F has a NIB.

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Authors and Affiliations

  1. Ibaraki University, Bunkyo 2-1-1, 310-8512, Mito, Japan

    H. Ichimura

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  1. H. Ichimura
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Correspondence to H. Ichimura.

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Communicated by: J. Michalicek

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Ichimura, H. Note on the rings of integers of certain tame 2-galois extensions over a number field. Abh.Math.Semin.Univ.Hambg. 76, 63–68 (2006). https://doi.org/10.1007/BF02960855

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  • DOI: https://doi.org/10.1007/BF02960855

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