DENSE ORBITS FOR ABELIAN AFFINE GROUPS

Adlene Ayadi (1)

1 Systèmes dynamiques et combinatoire:99UR15-15

In this paper, we give a characterization of existence of a dense orbit for the action on C^n of an abelian affine subgroup G of GA(n,C). We prove in particular that if G has a dense orbit then the closure G* of G is an affine space of dimension n. If G is finitely generated, this characterization is explicit.

Mots clés: transitive

Mots clés: affine action; dense; orbit; group; abelian; transitive.

Domaines: Systèmes dynamiques [math.DS]

Adlene Ayadi. DENSE ORBITS FOR ABELIAN AFFINE GROUPS. 2010. ⟨hal-00549263v1⟩