Add to ORKG14 pagesA theorem of Cantat and Urech says that an analog of the classical Tits alternative holds for the group of birational automorphisms of a compact complex Kaehler surface. We established in [AZ21] the following Tits-type alternative: if X is a toric affine variety and G ⊂ Aut(X) is a subgroup generated by a finite set of unipotent subgroups normalized by the acting torus then either G contains a nonabelian free subgroup or G is a unipotent affine algebraic group. In the present paper we extend the latter result to any group G of automorphisms of a complex affine surface generated by a finite collection of unipotent algebraic subgroups. It occurs that either G contains a nonabelian free subgroup or G is a metabelian unipotent algebraic...
For any right-angled Artin group, we show that its outer automorphism group contains either a finite...
One says that the Tits alternative holds for a finitely generated group G if G contains either a non...
Abstract. We give a characterization of the geometric automorphisms in a certain class of (not neces...
A theorem of Cantat and Urech says that an analog of the classical Tits alternative holds for the gr...
26 pages, 2 figuresLet $G=G_1\ast\dots\ast G_k\ast F$ be a countable group which splits as a free pr...
We describe a family of rational affine surfaces S with huge groups of automorphisms in the followin...
International audienceLet X be a rational nonsingular compact connected real algebraic surface. Deno...
It is known that the identity component of the automorphism group of a projective algebraic variety ...
AbstractJ. Tits gave a general recipe for producing an abstract geometry from a semisimple algebraic...
We show that two-dimensional Artin groups satisfy a strengthening of the Tits alternative: their sub...
An anti-torus is a subgroup $$ in the fundamental group of a compact non-positively curved space $X$...
RésuméVia une action de Aut[C2] sur un arbre, nous classifions les sous-groupes de Aut[C2]. En parti...
Our main result is the following: let X be a normal affine toric surface without torus factor. Then ...
Este projeto de mestrado tem por objetivo dar uma prova elementar do seguinte teorema de Tits, conhe...
J. Tits gave a general recipe for producing an abstract geometry from a semisimple algebraic group. ...
For any right-angled Artin group, we show that its outer automorphism group contains either a finite...
One says that the Tits alternative holds for a finitely generated group G if G contains either a non...
Abstract. We give a characterization of the geometric automorphisms in a certain class of (not neces...
A theorem of Cantat and Urech says that an analog of the classical Tits alternative holds for the gr...
26 pages, 2 figuresLet $G=G_1\ast\dots\ast G_k\ast F$ be a countable group which splits as a free pr...
We describe a family of rational affine surfaces S with huge groups of automorphisms in the followin...
International audienceLet X be a rational nonsingular compact connected real algebraic surface. Deno...
It is known that the identity component of the automorphism group of a projective algebraic variety ...
AbstractJ. Tits gave a general recipe for producing an abstract geometry from a semisimple algebraic...
We show that two-dimensional Artin groups satisfy a strengthening of the Tits alternative: their sub...
An anti-torus is a subgroup $$ in the fundamental group of a compact non-positively curved space $X$...
RésuméVia une action de Aut[C2] sur un arbre, nous classifions les sous-groupes de Aut[C2]. En parti...
Our main result is the following: let X be a normal affine toric surface without torus factor. Then ...
Este projeto de mestrado tem por objetivo dar uma prova elementar do seguinte teorema de Tits, conhe...
J. Tits gave a general recipe for producing an abstract geometry from a semisimple algebraic group. ...
For any right-angled Artin group, we show that its outer automorphism group contains either a finite...
One says that the Tits alternative holds for a finitely generated group G if G contains either a non...
Abstract. We give a characterization of the geometric automorphisms in a certain class of (not neces...