English

Periodic points for amenable group actions on uniquely arcwise connected continua

Dynamical Systems 2020-06-29 v2

Abstract

We show that if GG is a countable amenable group acting on a uniquely arcwise connected continuum XX, then GG has either a fixed point or a 2-periodic point in XX.

Keywords

Cite

@article{arxiv.1710.03411,
  title  = {Periodic points for amenable group actions on uniquely arcwise connected continua},
  author = {Enhui Shi and Xiangdong Ye},
  journal= {arXiv preprint arXiv:1710.03411},
  year   = {2020}
}
R2 v1 2026-06-22T22:08:22.123Z