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- W2261269916 abstract "We show that any subgroup of a (virtually) nilpotent-by-polycyclic group satisfies the bounded packing property of Hruska–Wise [Packing subgroups in relatively hyperbolic groups, Geom. Topol. 13 (2009) 1945–1988]. In particular, the same is true for all finitely generated subgroups of metabelian groups and linear solvable groups. However, we find an example of a finitely generated solvable group of derived length 3 which admits a finitely generated metabelian subgroup without the bounded packing property. In this example the subgroup is a retract also. Thus we obtain a negative answer to Problem 2.27 of the above paper. On the other hand, we show that polycyclic subgroups of solvable groups satisfy the bounded packing property." @default.
- W2261269916 created "2016-06-24" @default.
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- W2261269916 date "2015-08-01" @default.
- W2261269916 modified "2023-09-24" @default.
- W2261269916 title "Packing subgroups in solvable groups" @default.
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- W2261269916 doi "https://doi.org/10.1142/s0218196715500253" @default.
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