English

Big mapping class groups are not acylindrically hyperbolic

Group Theory 2016-01-18 v2 Geometric Topology

Abstract

We give a criterion to prove that some groups are not acylindrically hyperbolic. As an application, we prove that the mapping class group of an infinite type surface is not acylindrically hyperbolic.

Keywords

Cite

@article{arxiv.1511.05492,
  title  = {Big mapping class groups are not acylindrically hyperbolic},
  author = {Juliette Bavard and Anthony Genevois},
  journal= {arXiv preprint arXiv:1511.05492},
  year   = {2016}
}

Comments

7 pages

R2 v1 2026-06-22T11:47:41.258Z