Completely normal elements in finite abelian extensions

Details Completely normal elements in finite abelian extensions Completely normal elements in finite abelian extensions

2011-10-09

arxiv.org/abs/1110.1852v2

Mathematics

Number Theory

Scientific paper

We give a completely normal element in the maximal real subfield of a cyclotomic field over the field of rational numbers, which is different from that of Okada. This result is a consequence of the criterion for a normal element developed in [Normal bases of ray class fields over imaginary quadratic fields, Math. Zeit.]. Furthermore, we find a completely normal element in certain extension of modular function fields in terms of a quotient of the modular discriminant function.

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