The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites

Enhui Shi, and Suhua Wang. "The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites." Fundamenta Mathematicae 203.1 (2009): 21-37. <http://eudml.org/doc/283153>.

@article{EnhuiShi2009,
abstract = {It is shown that each expansive group action on a Peano continuum having a free dendrite must have a ping-pong game, and has positive geometric entropy when the acting group is finitely generated. As a corollary, it is shown that each Peano continuum having a free dendrite admits no expansive nilpotent group actions.},
author = {Enhui Shi, Suhua Wang},
journal = {Fundamenta Mathematicae},
keywords = {Peano continuum; expansiveness; group action; geometric entropy; ping-pong game; free dendrite},
language = {eng},
number = {1},
pages = {21-37},
title = {The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites},
url = {http://eudml.org/doc/283153},
volume = {203},
year = {2009},
}

TY - JOUR
AU - Enhui Shi
AU - Suhua Wang
TI - The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites
JO - Fundamenta Mathematicae
PY - 2009
VL - 203
IS - 1
SP - 21
EP - 37
AB - It is shown that each expansive group action on a Peano continuum having a free dendrite must have a ping-pong game, and has positive geometric entropy when the acting group is finitely generated. As a corollary, it is shown that each Peano continuum having a free dendrite admits no expansive nilpotent group actions.
LA - eng
KW - Peano continuum; expansiveness; group action; geometric entropy; ping-pong game; free dendrite
UR - http://eudml.org/doc/283153
ER -