Topological transitivity of solvable group actions on the line ℝ

Suhua Wang, et al. "Topological transitivity of solvable group actions on the line ℝ." Colloquium Mathematicae 116.2 (2009): 203-215. <http://eudml.org/doc/284165>.

@article{SuhuaWang2009,
abstract = {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.},
author = {Suhua Wang, Enhui Shi, Lizhen Zhou, Grant Cairns},
journal = {Colloquium Mathematicae},
keywords = {topological transitivity; solvable group action; ping-pong game},
language = {eng},
number = {2},
pages = {203-215},
title = {Topological transitivity of solvable group actions on the line ℝ},
url = {http://eudml.org/doc/284165},
volume = {116},
year = {2009},
}

TY - JOUR
AU - Suhua Wang
AU - Enhui Shi
AU - Lizhen Zhou
AU - Grant Cairns
TI - Topological transitivity of solvable group actions on the line ℝ
JO - Colloquium Mathematicae
PY - 2009
VL - 116
IS - 2
SP - 203
EP - 215
AB - 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.
LA - eng
KW - topological transitivity; solvable group action; ping-pong game
UR - http://eudml.org/doc/284165
ER -