Geodesic
Topological transitivity of solvable group actions on the line $\mathbb R$
Suhua Wang 1   ; Enhui Shi 1   ; Lizhen Zhou 1   ; Grant Cairns 1
1 Department of Mathematics Suzhou University Suzhou 215006, China
Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 203-215 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm116-2-5
Keywords: phi rightarrow homeo mathbb orientation preserving action discrete solvable group mathbb paper topological transitivity phi investigated particular relations between dynamical complexity algebraic structure considered

Suhua Wang  1   ; Enhui Shi  1   ; Lizhen Zhou  1   ; Grant Cairns  1

1 Department of Mathematics Suzhou University Suzhou 215006, China 
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Suhua Wang; Enhui Shi; Lizhen Zhou; Grant Cairns. Topological transitivity of solvable group actions on the line
$\mathbb R$. Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 203-215. doi: 10.4064/cm116-2-5

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