Topological transitive Abelian subgrouns of GL(n,R)
Ayadi, Adlene · Marzougui, Habib · Salhi, Ezzeddine
Original · EN
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).
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.