English

Galois groups over rational function fields over skew fields

Number Theory 2020-02-25 v1

Abstract

Let HH be a skew field of finite dimension over its center kk. We solve the Inverse Galois Problem over the field of fractions H(X)H(X) of the ring of polynomial functions over HH in the variable XX, if kk contains an ample field.

Keywords

Cite

@article{arxiv.2002.10300,
  title  = {Galois groups over rational function fields over skew fields},
  author = {Gil Alon and François Legrand and Elad Paran},
  journal= {arXiv preprint arXiv:2002.10300},
  year   = {2020}
}