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 × 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 × 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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