Geodesic
The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites
Enhui Shi1 ; Suhua Wang1
1 Department of Mathematics Suzhou University Suzhou 215006, P.R. China
Fundamenta Mathematicae, Tome 203 (2009) no. 1, pp. 21-37 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm203-1-2
Keywords: shown each expansive group action peano continuum having dendrite have ping pong game has positive geometric entropy acting group finitely generated corollary shown each peano continuum having dendrite admits expansive nilpotent group actions

Enhui Shi 1 ; Suhua Wang 1

1 Department of Mathematics Suzhou University Suzhou 215006, P.R. China 
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Enhui Shi; Suhua Wang. The ping-pong game, geometric entropy and expansiveness
 for group actions on Peano continua having free dendrites. Fundamenta Mathematicae, Tome 203 (2009) no. 1, pp. 21-37. doi: 10.4064/fm203-1-2

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