Groups, Geometry, and Dynamics
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Published online: 2014-05-13
A sufficient condition for finite presentability of abelian-by-nilpotent groupsRalph Strebel
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.
Keywords: Soluble groups, finite presentation, geometric invariant Sigma
Strebel Ralph: A sufficient condition for finite presentability of abelian-by-nilpotent groups. Groups Geom. Dyn. 8 (2014), 257-283. doi: 10.4171/GGD/225