On the classifying space of the family of virtually cyclic subgroups

By W. Lück, Michael Weiermann. 2007

95 citations recorded by the source corpus.

We study the minimal dimension of the classifying space of the family of virtually cyclic subgroups of a discrete group. We give a complete answer for instance if the group is virtually poly-Z, word-hyperbolic or countable locally virtually cyclic. We give examples of groups for which the difference of the minimal dimensions of the classifying spaces of virtually cyclic and of finite subgroups is -1, 0 and 1, and show in many cases that no other values can occur.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2db98d6c49ddac085b48246d6ebd6beff358ffad

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. D. Juan-Pineda
2. Alejandra Trujillo-Negrete
3. W. Lück

In Mathematical Physics

1. D. Juan-Pineda
2. Alejandra Trujillo-Negrete
3. W. Lück

Citations in the corpus

• On classifying spaces for the family of virtually cyclic subgroups (2016, background): “In [15] Lück and Weiermann gave a general construction using this idea.”