English

Small index subgroups of the mapping class group

Geometric Topology 2007-12-14 v1 Group Theory

Abstract

We prove that the mapping class group of a closed oriented surface of genus ρ3\rho \ge 3 has no proper subgroup of index 4ρ+4\le 4 \rho +4.

Cite

@article{arxiv.0712.2153,
  title  = {Small index subgroups of the mapping class group},
  author = {Luis Paris},
  journal= {arXiv preprint arXiv:0712.2153},
  year   = {2007}
}
R2 v1 2026-06-21T09:53:42.703Z