English

Abels's groups revisited

Group Theory 2014-10-01 v2 Geometric Topology

Abstract

We generalize a class of groups introduced by Herbert Abels to produce examples of virtually torsion free groups that have Bredon-finiteness length m-1 and classical finiteness length n-1 for all 0 < m <= n. The proof illustrates how Bredon-finiteness properties can be verified using geometric methods and a version of Brown's criterion due to Martin Fluch and the author.

Keywords

Cite

@article{arxiv.1206.0977,
  title  = {Abels's groups revisited},
  author = {Stefan Witzel},
  journal= {arXiv preprint arXiv:1206.0977},
  year   = {2014}
}

Comments

17 pages, 2 figures, v2 more detailed

R2 v1 2026-06-21T21:14:34.689Z