Galois Groups and Genera of a kind of Quasi-cyclotomic Function Fields
Number Theory
2012-07-10 v2
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.
Keywords
Cite
@article{arxiv.1007.1729,
title = {Galois Groups and Genera of a kind of Quasi-cyclotomic Function Fields},
author = {Min Sha and Linsheng Yin},
journal= {arXiv preprint arXiv:1007.1729},
year = {2012}
}
Comments
Accepted by Journal of Number Theory