On Properties of Expansive Group Actions
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We study several properties of expansive group actions on metric spaces and obtain some relations between the expansivity for subgroup and group actions. Through counter examples, the necessity of hypothesis is justified. We also study the expansivity of covering maps. Further, we define orbit expansivity for group actions on topological spaces and use it to characterize expansive actions.
KeywordsOrbit expansive homeomorphism Expansive group actions Syndetic set Subgroups
Mathematics Subject Classification (2010)37C85 37C50 37C75 54H20
Authors takes this opportunity to thank the referee(s) for his or her valuable comments.