English

Groups acting distally and minimally on $\mathbb S^2$ and $\mathbb {RP}^2$

Dynamical Systems 2023-01-16 v1

Abstract

Let XX be the 22-sphere S2\mathbb S^2 or the real projective plane RP2\mathbb {RP}^2. We show that if Γ\Gamma is a finitely generated group acting minimally and distally on XX, then Γ\Gamma contains a nonabelian free subgroup.

Keywords

Cite

@article{arxiv.2301.05468,
  title  = {Groups acting distally and minimally on $\mathbb S^2$ and $\mathbb {RP}^2$},
  author = {Enhui Shi and Hui Xu},
  journal= {arXiv preprint arXiv:2301.05468},
  year   = {2023}
}
R2 v1 2026-06-28T08:11:00.262Z