Add to ORKGIf a polyhedral complex K has only finitely many isometry types of cells, then all of its cellular isometrics arc semisimple. If K is 1-connccted and non-positively curved, then any solvable group that acts freely by cellular isometrics on K is finitely generated and contains an abelian subgroup of finite index. © 1999 American Mathematical Society
this paper gives a classification of all finitelypresented, nonpolycyclic, abelian-by-cyclic groups ...
AbstractThe fundamental groups of complete squared complexes are a class of groups, some of which ar...
Let C(Γ) be the set of isomorphism classes of the finite groups that are quotients (homomorphic imag...
In this paper, we continue with the results in [12] and compute the group of quasi-isometries for a ...
We study lattices in non-positively curved metric spaces. Borel density is established in that setti...
Isomorphisms that preserve a certain geometric structure are easily destroyed by an arbitrary small ...
Abstract. We study lattices in non-positively curved metric spaces. Borel density is established in ...
We prove that arbitrary infinite discrete isometry groups of euclidean space are closely related to ...
12 pages. v2: introduction slightly rewritten, with added referencesWe exhibit a variety of groups t...
If a class of finitely generated groups Curly(G) is closed under isometric amalgamations along free ...
A simple surface amalgam is the union of a finite collection of surfaces with precisely one boundary...
We use basic tools of descriptive set theory to prove that a closed set S of marked groups has 2ℵ0 q...
Abstract. While still a semidirect product, the isometry group can be strictly larger than the obvio...
A well known classical theorem due to Bieberbach says that every discrete group Γ of isometries of t...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
this paper gives a classification of all finitelypresented, nonpolycyclic, abelian-by-cyclic groups ...
AbstractThe fundamental groups of complete squared complexes are a class of groups, some of which ar...
Let C(Γ) be the set of isomorphism classes of the finite groups that are quotients (homomorphic imag...
In this paper, we continue with the results in [12] and compute the group of quasi-isometries for a ...
We study lattices in non-positively curved metric spaces. Borel density is established in that setti...
Isomorphisms that preserve a certain geometric structure are easily destroyed by an arbitrary small ...
Abstract. We study lattices in non-positively curved metric spaces. Borel density is established in ...
We prove that arbitrary infinite discrete isometry groups of euclidean space are closely related to ...
12 pages. v2: introduction slightly rewritten, with added referencesWe exhibit a variety of groups t...
If a class of finitely generated groups Curly(G) is closed under isometric amalgamations along free ...
A simple surface amalgam is the union of a finite collection of surfaces with precisely one boundary...
We use basic tools of descriptive set theory to prove that a closed set S of marked groups has 2ℵ0 q...
Abstract. While still a semidirect product, the isometry group can be strictly larger than the obvio...
A well known classical theorem due to Bieberbach says that every discrete group Γ of isometries of t...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
this paper gives a classification of all finitelypresented, nonpolycyclic, abelian-by-cyclic groups ...
AbstractThe fundamental groups of complete squared complexes are a class of groups, some of which ar...
Let C(Γ) be the set of isomorphism classes of the finite groups that are quotients (homomorphic imag...