English

Uniformly exponential growth and mapping class groups of surfaces

Group Theory 2007-05-23 v1 Geometric Topology

Abstract

We show that the mapping class group of an orientable finite type surface has uniformly exponential growth, as well as various closely related groups. This provides further evidence that mapping class groups may be linear.

Keywords

Cite

@article{arxiv.math/0508321,
  title  = {Uniformly exponential growth and mapping class groups of surfaces},
  author = {James W. Anderson and Javier Aramayona and Kenneth J. Shackleton},
  journal= {arXiv preprint arXiv:math/0508321},
  year   = {2007}
}

Comments

6 pages, no figures

R2 v1 2026-07-22T17:23:11.323Z