Topological transitivity of solvable group actions on the line $\mathbb R$
Volume 116 / 2009
Colloquium Mathematicum 116 (2009), 203-215
MSC: Primary 37B05; Secondary 57S25.
DOI: 10.4064/cm116-2-5
Abstract
Let $\phi:G\rightarrow {\rm Homeo_+}(\mathbb{R})$ be an orientation preserving action of a discrete solvable group $G$ on $\mathbb R$. In this paper, the topological transitivity of $\phi$ is investigated. In particular, the relations between the dynamical complexity of $G$ and the algebraic structure of $G$ are considered.
