English

A cohomological characterization of locally virtually cyclic groups

Group Theory 2016-09-27 v2 Algebraic Topology

Abstract

We show that a countable group is locally virtually cyclic if and only if its Bredon cohomological dimension for the family of virtually cyclic subgroups is at most one.

Keywords

Cite

@article{arxiv.1506.06260,
  title  = {A cohomological characterization of locally virtually cyclic groups},
  author = {Dieter Degrijse},
  journal= {arXiv preprint arXiv:1506.06260},
  year   = {2016}
}

Comments

14 pages, correction to Theorem 4.1, added countability assumption, typos corrected

R2 v1 2026-06-22T09:57:17.084Z