- Research Article
5- 10.1016/j.jalgebra.2010.05.009
The acyclic group dichotomy
- Jun 10, 2010
- Journal of Algebra
- A.J Berrick
The acyclic group dichotomy
- 3
- https://doi.org/10.1093/qmath/hah011
Acyclic groups and wild arcs
- Dec 1, 2004
- The Quarterly Journal of Mathematics
- A J Berrick
Abstract
We discuss two classes of acyclic groups that are commutator subgroups of finitely presented groups with infinite cyclic abelianization. The first is algebraic and includes groups first exhibited by Baumslag and Gruenberg, of which it is shown that Epstein’s acyclic group is as pecial case. The second class is geometric, and is shown to include a number of wild arc groups in the literature.
- # Acyclic Group
- # Acyclic Groups
- # Wild Arc
- # Infinite Abelianization
- # Wild Groups
- # Commutator Subgroups
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