In this paper, we study the action of non abelian group G generated by affine homotheties on
R^ n. We prove that G satisfies one of the following properties:(i) there exist a subgroup F …

In this paper, we give a characterization of existence of a dense orbit for the action on ℂn of
an abelian subgroup G of GL (n, ℂ). We prove in particular that if G has a dense orbit then …

Let G be a real algebraic group, H≤ G an algebraic subgroup containing a maximal
reductive subgroup of G, and Γ a subgroup of G acting on G/H by left translations. We …

Let $ G $ be a reductive, non-abelian, algebraic group defined over $\mathbb {C} $. We
investigate algebraic $ G $-actions on the total spaces of non-trivial algebraic $ G $-vector …

Some Basic Results on Actions of Nonaffine Algebraic Groups Page 1 Some Basic Results on
Actions of Nonaffine Algebraic Groups Michel Brion Summary. We study actions of connected …

Algebraic group actions on affine space, C n, are determined by finite dimensional algebraic
subgroups of the full algebraic automorphism group, Aut C n. This group is anti-isomorphic …

We explore connected affine algebraic groups $ G $, which enjoy the following finiteness
property $\rm (F) $: for every algebraic action of $ G $, the closure of every $ G $-orbit …

An important problem in the theory of algebraic group actions is to understand how a finite
group G can act algebraically on complex affine space When G acts linearly, our …

In this study, we apply some theorems of group theory to study algebraic and non-algebraic
actions of algebraic groups on the affine plane. The main object of study is the group Autk (k …

Let $ N\geq 2$ and let $\mathrm {Out}(F_N) $ be the outer automorphism group of a
nonabelian free group of rank $ N $. Let $\mathrm {IA} _N (\mathbb {Z}/3\mathbb {Z}) $ be …