Topological transitivity of solvable group actions on the line ℝ

• Autorzy: Suhua Wang , Enhui Shi , Lizhen Zhou , Grant Cairns
• Języki publikacji: EN

Abstrakty

EN

Let ϕ:G → Homeo₊(ℝ) be an orientation preserving action of a discrete solvable group G on ℝ. In this paper, the topological transitivity of ϕ is investigated. In particular, the relations between the dynamical complexity of G and the algebraic structure of G are considered.

Kategorie tematyczne

• 57S25: Groups acting on specific manifolds
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 116
• Numer: 2
• Strony: 203-215

Daty

wydano

2009

Twórcy

autor

Suhua Wang

• Department of Mathematics, Suzhou University, Suzhou 215006, China

autor

Enhui Shi

• Department of Mathematics, Suzhou University, Suzhou 215006, China

autor

Lizhen Zhou

• Department of Mathematics, Suzhou University, Suzhou 215006, China

autor

Grant Cairns

• Department of Mathematics, Suzhou University, Suzhou 215006, China

Identyfikatory

DOI

10.4064/cm116-2-5