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In this paper, we give a characterization of existence of a dense orbit for the action on Cn of an abelian affine subgroup G of GA(n,C). We prove in particular that if G has a dense orbit then the clo...
tion of Non Abelian Group Generated by Affine Homotheties on R^n
Homothety orbit density minimal non abelian action
2010/12/14
In this paper, we study the action of non abelian group G generated by affine homotheties on Rn. We prove that G satisfies one of the following properties: (i) there exist a subgroup G of R∗ co...