2 papers
math.DS2011
Regularity action of abelian linear groups on C^n
Adlene Ayadi, Ezzeddine Salhi
In this paper, we give a characterization of the action of any abelian subgroup G of GL(n, C) on C^n. We prove that any orbit of G is regular with order m<=2n. Moreover, we give a…
math.DS2010
Topological transitive Abelian subgrouns of GL(n,R)
Adlene Ayadi, Habib Marzougui, Ezzeddine Salhi
We give a complete characterization of abelian subgroups of GL(n, R) with a locally dense (resp. dense) orbit in R^n. For finitely generated subgroups, this characterization is exp…