Add to ORKGAbstract. In this surveyarticlewe discuss the structureofproperlydiscontinuousgroupsofaf¢ne transformations and in particular of af¢ne crystallographic groups. One of the main open questions is Auslander's conjecture claiming that every af¢ne crystallographic group is virtually solvable. Mathematics Subject Classi¢cations (2000). 20H15, 57S30, 57M50, 53C30
Abels H, Margulis GA, Soifer GA. Groupes proprement discontinus de transformations affines avec part...
We prove that arbitrary infinite discrete isometry groups of euclidean space are closely related to ...
International audienceThis lecture is aimed at giving a sufficient background on crystallography, as...
Abels H. Properly discontinuous groups of affine transformations: A survey. Geometriae Dedicata. 200...
Abels H, Margulis GA, Soifer GA. The Auslander conjecture for groups leaving a form of signature (n-...
Diese Diplomarbeit behandelt die Theorie der affin-kristallographischen Gruppen. Zentral ist die Fra...
Abels H, Margulis GA, Soifer GA. The linear part of an affine group acting properly discontinuously ...
AbstractIn this paper, we give a partial answer concerned with Auslander's conjecture. It is shown t...
Crystallography is a branch of physics that studies the properties of crystals. The atoms that make ...
In Parry and Zyskin [1] we outlined mathematical methods which seemed to be necessary in order to di...
Those groups r which act properly discontinuously and aillnely on II? ’ with compact fundamental dom...
AbstractThose groups Γ which act properly discontinuously and affinely on R3 with compact fundamenta...
Abstract. Consider a finite set of Euclidean motions and ask what kind of conditions are necessary f...
International audienceThis paper defines a tiling problem related to the automorphism group of $\mat...
We find the geometrical symmetries of discrete structures which generalize the perfect lattices of c...
Abels H, Margulis GA, Soifer GA. Groupes proprement discontinus de transformations affines avec part...
We prove that arbitrary infinite discrete isometry groups of euclidean space are closely related to ...
International audienceThis lecture is aimed at giving a sufficient background on crystallography, as...
Abels H. Properly discontinuous groups of affine transformations: A survey. Geometriae Dedicata. 200...
Abels H, Margulis GA, Soifer GA. The Auslander conjecture for groups leaving a form of signature (n-...
Diese Diplomarbeit behandelt die Theorie der affin-kristallographischen Gruppen. Zentral ist die Fra...
Abels H, Margulis GA, Soifer GA. The linear part of an affine group acting properly discontinuously ...
AbstractIn this paper, we give a partial answer concerned with Auslander's conjecture. It is shown t...
Crystallography is a branch of physics that studies the properties of crystals. The atoms that make ...
In Parry and Zyskin [1] we outlined mathematical methods which seemed to be necessary in order to di...
Those groups r which act properly discontinuously and aillnely on II? ’ with compact fundamental dom...
AbstractThose groups Γ which act properly discontinuously and affinely on R3 with compact fundamenta...
Abstract. Consider a finite set of Euclidean motions and ask what kind of conditions are necessary f...
International audienceThis paper defines a tiling problem related to the automorphism group of $\mat...
We find the geometrical symmetries of discrete structures which generalize the perfect lattices of c...
Abels H, Margulis GA, Soifer GA. Groupes proprement discontinus de transformations affines avec part...
We prove that arbitrary infinite discrete isometry groups of euclidean space are closely related to ...
International audienceThis lecture is aimed at giving a sufficient background on crystallography, as...