Topological transitive Abelian subgrouns of GL(n,R)

Details Topological transitive Abelian subgrouns of GL(n,R) Topological transitive Abelian subgrouns of GL(n,R)

2010-10-31

arxiv.org/abs/1011.0178v1

Mathematics

Dynamical Systems

Scientific paper

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).

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