17 citations · 38 across the 6 of their papers we have counts for
6 papers
The Auslander conjecture for dimension less then 7
H. Abels, G. A. Margulis, G. A. Soifer
In 1964 L. Auslander conjectured that every crystallographic subgroup of an the affine group is virtually solvable, i.e. contains a solvable subgroup of finite index. D. Fried and…
The Auslander conjecture for dimension less than 7
Herbert Abels, Gregory Margulis, Gregory Soifer
In 1967 L. Auslander conjectured that every crystallographic subgroup of an affine group is virtually solvable, i.e. contains a solvable subgroup of finite index. D. Fried and W. G…
Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices
Herbert Abels, Antonios Manoussos
In this paper we bring together results about the density of subsemigroups of abelian Lie groups, the minimal number of topological generators of abelian Lie groups and a result ab…
Linear semigroups with coarsely dense orbits
Herbert Abels, Antonios Manoussos
Let be a finitely generated abelian semigroup of invertible linear operators on a finite dimensional real or complex vector space . We show that every coarsely dense orbit o…
A group of isometries with non-closed orbits
Herbert Abels, Antonios Manoussos
In this note we give an example of a one-dimensional manifold with two connected components and a complete metric whose group of isometries has an orbit which is not closed. This a…
Proper actions and proper invariant metrics
Herbert Abels, Antonios Manoussos, Gennady Noskov
We show that if a (locally compact) group acts properly on a locally compact -compact space then there is a family of -invariant proper continuous finite-valued pseud…