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Title: Acyclic groups and wild arcs
Authors: Berrick, A.J. 
Wong, Y.-L. 
Issue Date: Dec-2004
Citation: Berrick, A.J., Wong, Y.-L. (2004-12). Acyclic groups and wild arcs. Quarterly Journal of Mathematics 55 (4) : 421-440. ScholarBank@NUS Repository.
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 a special case. The second class is geometric, and is shown to include a number of wild arc groups in the literature.
Source Title: Quarterly Journal of Mathematics
ISSN: 00335606
DOI: 10.1093/qmath/hah011
Appears in Collections:Staff Publications

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