Email this article Normal Basis of the Maximal Real Subfield of a Circular Field
- Authors: Galyautdinov I.G.1, Lavrentyeva E.E.1
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Affiliations:
- Institute of Computational Mathematics and Information Technologies
- Issue: Vol 40, No 5 (2019)
- Pages: 630-639
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204422
- DOI: https://doi.org/10.1134/S1995080219050081
- ID: 204422
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Abstract
We find a necessary and sufficient condition on the natural number n in order that the conjugates of an entire algebraic number α = 2 cos(π/n) form a normal basis of the field ℚ(α); we show that this normal basis at the same time is fundamental.
About the authors
I. G. Galyautdinov
Institute of Computational Mathematics and Information Technologies
Email: ialee-4@mail.ru
Russian Federation, Kazan, 420008
E. E. Lavrentyeva
Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: ialee-4@mail.ru
Russian Federation, Kazan, 420008
