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arXiv · 1007.1729

Galois Groups and Genera of a kind of Quasi-cyclotomic Function Fields

Min Sha·Linsheng Yin
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Abstract

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.

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Min Sha, Linsheng Yin. 2012-07-07. Galois Groups and Genera of a kind of Quasi-cyclotomic Function Fields. https://arxiv.org/abs/1007.1729

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