Binary subgroups of direct products
Binary subgroups of direct products
We explore an elementary construction that produces finitely presented groups with diverse homological finiteness properties – the binary subgroups , B(\Sigma,\mu)<G_1\times\dots\times G_m . These full subdirect products require strikingly few generators. If each G_i is finitely presented, B(\Sigma,\mu) is finitely presented. When the G_i are non-abelian limit groups (e.g. free …