NORMAL BASES FOR FUNCTION FIELDS

NORMAL BASES FOR FUNCTION FIELDS

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...

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2024-08, Vol.110 (1), p.44-55
1. Verfasser: HAMAHATA, YOSHINORI
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972724000339