NORMAL BASES FOR FUNCTION FIELDS

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2024-05-06 DOI:10.1017/s0004972724000339

YOSHINORI HAMAHATA

引用次数: 0

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.

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功能域的正态基

在正特征的函数场中，我们为有限伽罗瓦扩展提供了一个完全正元的具体例子。更确切地说，对于非阿贝尔扩展，我们利用函数场中的西格尔函数，为 Drinfeld 模块化函数场构造了完全正元。对于非阿贝尔扩展，我们为回旋函数场构造了完全正元。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society