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Gaussian periods in cyclotomic fields and relative traces as generators of intermediate subfields

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

We study relative traces to provide primitive elements for all the subfields of any cyclotomic field. We also build a primitive element for a cyclotomic extension such that every intermediate field is generated by its relative trace.

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Acknowledgements

This work was partially supported by the spanish MICINN project MTM2015-66180-R.

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Authors and Affiliations

  1. Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071, Málaga, Spain

    M. A. Gómez-Molleda

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  1. M. A. Gómez-Molleda
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Correspondence to M. A. Gómez-Molleda.

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Gómez-Molleda, M.A. Gaussian periods in cyclotomic fields and relative traces as generators of intermediate subfields. RACSAM 113, 1331–1341 (2019). https://doi.org/10.1007/s13398-018-0550-8

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  • DOI: https://doi.org/10.1007/s13398-018-0550-8

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