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Financial support from the Swiss N.F. for scientific research.
The authors thanks the referee for the elegant argument in the proof of the last lemma.
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Hürlimann, W. A cyclotomic Hilbert 90 theorem. Arch. Math 43, 25–26 (1984). https://doi.org/10.1007/BF01193606
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DOI: https://doi.org/10.1007/BF01193606