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Abstract: We give a complete characterization of abelian subgroups of GLn, R with alocally dense resp. dense orbit in R^n. For finitely generated subgroups,this characterization is explicit and it is used to show that no abeliansubgroup of GLn, R generated by n+1-2 matrices can have a dense orbitin R^n. denotes the integer part.



Author: Adlene Ayadi, Habib Marzougui, Ezzeddine Salhi

Source: https://arxiv.org/







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