The nonexistence of expansive polycyclic group actions on the circle 𝕊¹

Author:

Shi Enhui,Wang Suhua,Xie Zhiwen,Xu Hui

Abstract

We show that the circle S 1 \mathbb S^1 admits no expansive polycyclic group actions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference27 articles.

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2. Homoclinic groups, IE groups, and expansive algebraic actions;Chung, Nhan-Phu;Invent. Math.,2015

3. C. Connell, A. Furman, and S. Hurder, Expansive maps on the circle, \url{http://homepages.math.uic.edu/ hurder/papers/53manuscript.pdf}, 2000.

4. American Mathematical Society Colloquium Publications;Druţu, Cornelia,2018

5. Expansive homeomorphisms of compact surfaces are pseudo-Anosov;Hiraide, Koichi;Osaka J. Math.,1990

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