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math.GR2010★ 2 cited
The acyclic group dichotomy
A. J. Berrick
Two extremal classes of acyclic groups are discussed. For an arbitrary group G, there is always a homomorphism from an acyclic group of cohomological dimension 2 onto the maximum p…
math.GR2004★ 3 cited
Homological realization of prescribed abelian groups via -theory
A. J. Berrick, M. Matthey
Using algebraic and topological K-theory together with complex C^*-algebras, we prove that every abelian group may be realized as the centre of a strongly torsion generated group w…