CHAOTIC ACTIONS OF FREE GROUPS

Authors
CAIRNS G KOLGANOVA A
Citation
G. Cairns et A. Kolganova, CHAOTIC ACTIONS OF FREE GROUPS, Nonlinearity, 9(4), 1996, pp. 1015-1021
Citations number
12
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
9
Issue
4
Year of publication
1996
Pages
1015 - 1021
Database
ISI
SICI code
0951-7715(1996)9:4<1015:CAOFG>2.0.ZU;2-#
Abstract
An action of a group, G, on a space, M, is chaotic if it is topologica lly transitive and the set of points with finite orbit is a dense subs et of M. In this paper we show that every compact triangulable manifol d of dimension greater than one admits a faithful chaotic action of ev ery countably generated free group.