English

Profinite completions of Burnside-type quotients of surface groups

Geometric Topology 2019-01-25 v2 Group Theory

Abstract

Using quantum representations of mapping class groups we prove that profinite completions of Burnside-type surface group quotients are not virtually prosolvable, in general. Further, we construct infinitely many finite simple characteristic quotients of surface groups.

Keywords

Cite

@article{arxiv.1702.07866,
  title  = {Profinite completions of Burnside-type quotients of surface groups},
  author = {Louis Funar and Pierre Lochak},
  journal= {arXiv preprint arXiv:1702.07866},
  year   = {2019}
}

Comments

revised version, 17p