Add to ORKGWe prove that if a group G is systolic, i.e. if it acts properly and co-compactly on a systolic complex X, then an appropriate Rips complex constructed from X is a finite model for EG. MSC: 20F67; 20F65
Given a group (Formula presented.) with bounded torsion that acts properly on a systolic complex, we...
In this paper we provide new examples of hyperbolic but nonsystolic groups by showing that the trian...
We prove that ideal boundary of a 7-systolic group is strongly hereditarily aspherical. For some cla...
We study k-systolic complexes introduced by T. Januszkiewicz and J. Swiatkowski, which are simply co...
For all systolic groups we construct boundaries which are EZ–structures. This implies the Novikov co...
Abstract. We prove a finiteness result for the systolic area of groups. Namely, we show that there a...
We study possible configurations of flats in a systolic complex (a complex with simplicial nonpositi...
International audienceTwenty years ago Gromov asked about how large is the set of isomorp...
Abstract. We prove that each nonpositively curved square VH-complex can be turned functorially into ...
We determine the large scale geometry of the minimal displacement set of a hyperbolic isometry of a ...
The main goal of this paper is proving the fixed point theorem for finite groups acting on weakly sy...
We prove that for an action of a finite group G on a systolic complex X there exists a G–invariant s...
We give conditions on a presentation of a group, which imply that its Cayley complex is simplicial a...
Abstract. A group is SimpHAtic if it acts geometrically on a simply connected simplicially hereditar...
We introduce the notion of weakly systolic complexes and groups, and initiate regular studies of the...
Given a group (Formula presented.) with bounded torsion that acts properly on a systolic complex, we...
In this paper we provide new examples of hyperbolic but nonsystolic groups by showing that the trian...
We prove that ideal boundary of a 7-systolic group is strongly hereditarily aspherical. For some cla...
We study k-systolic complexes introduced by T. Januszkiewicz and J. Swiatkowski, which are simply co...
For all systolic groups we construct boundaries which are EZ–structures. This implies the Novikov co...
Abstract. We prove a finiteness result for the systolic area of groups. Namely, we show that there a...
We study possible configurations of flats in a systolic complex (a complex with simplicial nonpositi...
International audienceTwenty years ago Gromov asked about how large is the set of isomorp...
Abstract. We prove that each nonpositively curved square VH-complex can be turned functorially into ...
We determine the large scale geometry of the minimal displacement set of a hyperbolic isometry of a ...
The main goal of this paper is proving the fixed point theorem for finite groups acting on weakly sy...
We prove that for an action of a finite group G on a systolic complex X there exists a G–invariant s...
We give conditions on a presentation of a group, which imply that its Cayley complex is simplicial a...
Abstract. A group is SimpHAtic if it acts geometrically on a simply connected simplicially hereditar...
We introduce the notion of weakly systolic complexes and groups, and initiate regular studies of the...
Given a group (Formula presented.) with bounded torsion that acts properly on a systolic complex, we...
In this paper we provide new examples of hyperbolic but nonsystolic groups by showing that the trian...
We prove that ideal boundary of a 7-systolic group is strongly hereditarily aspherical. For some cla...