Chaotic group actions

Abstract

It is proved that there is no chaotic group actions on any topological space with free arc. In this paper the chaotic actions of the group like G x F,where F is a finite group~are studied. In particular,under a suitable assumption, if F is a cyclic group, then the topological space which admits a chaotic action of Z x F must admit a chaotic homeomorphism. A topological space which admits a chaotic group action but admits no chaotic homeomorphism is constructed.

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