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NORMAL BASES FOR FUNCTION FIELDS

Published online by Cambridge University Press:  06 May 2024

YOSHINORI HAMAHATA*
Affiliation:
Department of Applied Mathematics Okayama University of Science, Ridai-cho 1-1, Okayama 700-0005, Japan

Abstract

In function fields in positive characteristic, we provide a concrete example of completely normal elements for a finite Galois extension. More precisely, for a nonabelian extension, we construct completely normal elements for Drinfeld modular function fields using Siegel functions in function fields. For an abelian extension, we construct completely normal elements for cyclotomic function fields.

Type
Research Article
Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

This work was supported by JSPS KAKENHI Grant Number 21K03192.

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