AbstractA set of points W in Euclidean space is said to realize the finite group G if the isometry group of W is isomorphic to G. We show that every finite group G can be realized by a finite subset of some Rn, with n<|G|. The minimum dimension of a Euclidean space in which G can be realized is called its isometry dimension. We discuss the isometry dimension of small groups and offer a number of open questions
Abstract. Given a finitely generated group Γ, we study the space Isom(Γ,QU) of all actions of Γ by i...
ABSTRACT. We discuss the notion of essential dimension of a finite group (over C) and explain its re...
Abstract. This note is devoted to proving the following result: given a compact metrizable group G, ...
A set of points W in Euclidean space is said to realize the finite group G if the isometry group of ...
AbstractA set of points W in Euclidean space is said to realize the finite group G if the isometry g...
A finite set W ⊂ Rd is said to realize the group G if the isometry group of W is isomorphic to G. Th...
The isometry group of a compact n-dimensional hyperbolic manifold is known to be finite. We show tha...
AbstractWe prove reconstruction results for finite sets of points in the Euclidean spaceRnthat are g...
We can construct an edge colored complete graph of a group by generalizing the notion of distance in...
AbstractThe isometry group of a compact hyperbolic manifold is known to be finite. We show that ever...
We prove that arbitrary infinite discrete isometry groups of euclidean space are closely related to ...
AbstractWe prove that any subgroup of isometries of a Euclidean space can occur as a subgroup of iso...
A group G is representable in a Banach space X if G is isomorphic to the group of isometrics on X in...
We construct discrete and faithful representations into the isometry group of a hyperbolic ...
Group theory and its applications are relevant in many areas of mathematics. Our project considers f...
Abstract. Given a finitely generated group Γ, we study the space Isom(Γ,QU) of all actions of Γ by i...
ABSTRACT. We discuss the notion of essential dimension of a finite group (over C) and explain its re...
Abstract. This note is devoted to proving the following result: given a compact metrizable group G, ...
A set of points W in Euclidean space is said to realize the finite group G if the isometry group of ...
AbstractA set of points W in Euclidean space is said to realize the finite group G if the isometry g...
A finite set W ⊂ Rd is said to realize the group G if the isometry group of W is isomorphic to G. Th...
The isometry group of a compact n-dimensional hyperbolic manifold is known to be finite. We show tha...
AbstractWe prove reconstruction results for finite sets of points in the Euclidean spaceRnthat are g...
We can construct an edge colored complete graph of a group by generalizing the notion of distance in...
AbstractThe isometry group of a compact hyperbolic manifold is known to be finite. We show that ever...
We prove that arbitrary infinite discrete isometry groups of euclidean space are closely related to ...
AbstractWe prove that any subgroup of isometries of a Euclidean space can occur as a subgroup of iso...
A group G is representable in a Banach space X if G is isomorphic to the group of isometrics on X in...
We construct discrete and faithful representations into the isometry group of a hyperbolic ...
Group theory and its applications are relevant in many areas of mathematics. Our project considers f...
Abstract. Given a finitely generated group Γ, we study the space Isom(Γ,QU) of all actions of Γ by i...
ABSTRACT. We discuss the notion of essential dimension of a finite group (over C) and explain its re...
Abstract. This note is devoted to proving the following result: given a compact metrizable group G, ...
DOI
Add to ORKG