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

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cyclotomicsRACSAMrevision.pdf (269.65 KB)

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URI: https://hdl.handle.net/10630/40426
DOI: 10.1007/s13398-018-0550-8

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2018-05-22

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Springer Nature

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Números, Teoría algebraica de
Cuerpos de clase, Teoría de

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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https://openpolicyfinder.jisc.ac.uk/id/publication/36174

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RACSAM (2019) 113:1331–1341

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