English

Generating sets of Affine groups of low genus

Group Theory 2016-07-27 v1

Abstract

We describe a new algorithm for computing braid orbits on Nielsen classes. As an application we classify all families of affine genus zero systems; that is all families of coverings of the Riemann sphere by itself such that the monodromy group is a primitive affine permutation group.

Keywords

Cite

@article{arxiv.1108.4833,
  title  = {Generating sets of Affine groups of low genus},
  author = {Kay Magaard and Sergey Shpectorov and Gehao Wang},
  journal= {arXiv preprint arXiv:1108.4833},
  year   = {2016}
}