English

Action dimensions of some simple complexes of groups

Geometric Topology 2019-07-03 v2 Group Theory

Abstract

The action dimension of a discrete group GG is the minimum dimension of contractible manifold that admits a proper GG-action. We compute the action dimension of the direct limit of a simple complex of groups for several classes of examples including: 1) Artin groups, 2) graph products of groups, and 3) fundamental groups of aspherical complements of arrangements of affine hyperplanes.

Keywords

Cite

@article{arxiv.1803.04095,
  title  = {Action dimensions of some simple complexes of groups},
  author = {Michael W. Davis and Giang Le and Kevin Schreve},
  journal= {arXiv preprint arXiv:1803.04095},
  year   = {2019}
}

Comments

Typos corrected, some minor restructuring of subsections

R2 v1 2026-06-23T00:49:17.535Z