Periodic points for amenable group actions on dendrites
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- by Enhui Shi and Xiangdong Ye
- Proc. Amer. Math. Soc. 145 (2017), 177-184
- DOI: https://doi.org/10.1090/proc/13206
- Published electronically: June 10, 2016
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Abstract:
We show that if $G$ is a countable amenable group acting on a dendrite $X$, then $G$ has either a fixed point or a 2-periodic point in $X$.References
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Bibliographic Information
- Enhui Shi
- Affiliation: School of Mathematical Sciences, Soochow University, Suzhou 215006, People’s Republic of China
- MR Author ID: 710093
- Email: ehshi@suda.edu.cn
- Xiangdong Ye
- Affiliation: School of Mathematical Sciences, University of Science and Technology of China, Hefei 230022, People’s Republic of China
- MR Author ID: 266004
- Email: yexd@ustc.edu.cn
- Received by editor(s): February 21, 2016
- Received by editor(s) in revised form: March 1, 2016
- Published electronically: June 10, 2016
- Communicated by: Yingfei Yi
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 177-184
- MSC (2010): Primary 37B05; Secondary 54F50
- DOI: https://doi.org/10.1090/proc/13206
- MathSciNet review: 3565370