A recipe for obtaining finitely presented abelian-by-nilpotent groups is given. It relies on a geometric procedure that generalizes the construction of finitely presented metabelian groups introduced by R. Bieri and R. Strebel in 1980.
Cite this article
Ralph Strebel, A sufficient condition for finite presentability of abelian-by-nilpotent groups. Groups Geom. Dyn. 8 (2014), no. 1, pp. 257–283DOI 10.4171/GGD/225