Topological transitive Abelian subgrouns of GL(n,R)
Abstract
We give a complete characterization of abelian subgroups of GL(n, R) with a locally dense (resp. dense) orbit in Rn. 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 Rn. ([ ] denotes the integer part).
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.