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The homology of groups, profinite completions, and echoes of Gilbert Baumslag

The homology of groups, profinite completions, and echoes of Gilbert Baumslag

We present novel constructions concerning the homology of finitely generated groups. Each construction draws on ideas of Gilbert Baumslag. There is a finitely presented acyclic group U such that U has no proper subgroups of finite index and every finitely presented group can be embedded in U. There is no …