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arXiv · 1206.0977

Abels's groups revisited

Stefan Witzel
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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.

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Stefan Witzel. 2012-09-21. Abels's groups revisited. https://doi.org/10.2140/agt.2013.13.3447

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