On the finiteness of the classifying space for the family of virtually cyclic 
subgroups

Puttkamer, Timm von; Wu, Xiaolei

doi:10.4171/GGD/502

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

On the finiteness of the classifying space for the family of virtually cyclic subgroups

MPS-Authors

/persons/resource/persons240374

Puttkamer, Timm von
Max Planck Institute for Mathematics, Max Planck Society;

/persons/resource/persons221893

Wu, Xiaolei
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.4171/GGD/502
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

Puttkamer-Wu_On the finiteness of the classifying space for the family of virtually cyclic subgroups_2019.pdf
(Publisher version), 271KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Puttkamer, T. v., & Wu, X. (2019). On the finiteness of the classifying space for the family of virtually cyclic subgroups. Groups, Geometry, and Dynamics, 13(2), 707-729. doi:10.4171/GGD/502.

Cite as: https://hdl.handle.net/21.11116/0000-0004-725A-7

Abstract

Given a group G, we consider its classifying space for the family of virtually cyclic subgroups. We show for many groups, including for example, one-relator groups, acylindrically hyperbolic groups, 3-manifold groups and CAT(0) cube groups, that they do not admit a finite model for this classifying space unless they are virtually cyclic. This settles a conjecture due to Juan-Pineda and Leary for these classes of groups.