Galois groups and genera of a kind of quasi-cyclotomic function fields

JOURNAL OF NUMBER THEORY

卷:132

Article

Sha, Min¹  Yin, Linsheng¹ 

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

关键词: Cyclotomic function field;    Quasi-cyclotomic function field;    Galois group;    Genus;   

DOI  :  10.1016/j.jnt.2012.05.015

来源: Elsevier

【 摘 要 】

We call a (q - 1)-th Kummer extension of a cyclotomic function field a quasi-cyclotomic function field if it is Galois, but non-abelian, over the rational function field with the constant field of q elements. In this paper, we determine the structure of the Galois groups of a kind of quasi-cyclotomic function fields over the base field. We also give the genus formulae of them. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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