Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 13, Number 6 (2013), 3447-3467.
Abels's groups revisited
We generalize a class of groups introduced by Herbert Abels to produce examples of virtually torsion free groups that have Bredon-finiteness length and classical finiteness length for all .
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.
Algebr. Geom. Topol., Volume 13, Number 6 (2013), 3447-3467.
Received: 8 October 2012
Accepted: 27 February 2013
First available in Project Euclid: 19 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 20J05: Homological methods in group theory 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
Secondary: 51E24: Buildings and the geometry of diagrams 57M07: Topological methods in group theory
Witzel, Stefan. Abels's groups revisited. Algebr. Geom. Topol. 13 (2013), no. 6, 3447--3467. doi:10.2140/agt.2013.13.3447. https://projecteuclid.org/euclid.agt/1513715738