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.Comment: 17 pages, 2 figures, v2 more detaile