Resumen de Hypercyclic abelian semigroup of matrices on Cn and Rn and k-transitivity (k ≥ 2)

Adlene Ayadi

• We prove that the minimal number of matrices on Cn required to forma hypercyclic abelian semigroup on Cn is n+1. We also prove that theaction of any abelian semigroup finitely generated by matrices on Cnor Rn is never k-transitive for k 2. These answer questions raised byFeldman and Javaheri.