Groups, Geometry, and Dynamics


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Volume 8, Issue 1, 2014, pp. 257–283
DOI: 10.4171/GGD/225

Published online: 2014-05-13

A sufficient condition for finite presentability of abelian-by-nilpotent groups

Ralph 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