Topological transitive Abelian subgrouns of GL(n,R)
Dynamical Systems
2010-11-02 v1
Abstract
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 explicit and it is used to show that no abelian subgroup of GL(n, R) generated by [ (n+1)/2 ] matrices can have a dense orbit in R^n. ([ ] denotes the integer part).
Keywords
Cite
@article{arxiv.1011.0178,
title = {Topological transitive Abelian subgrouns of GL(n,R)},
author = {Adlene Ayadi and Habib Marzougui and Ezzeddine Salhi},
journal= {arXiv preprint arXiv:1011.0178},
year = {2010}
}