Packing subgroups in solvable groups
Skip to main content
Open Access Publications from the University of California

Department of Mathematics

Other bannerUC Davis

Packing subgroups in solvable groups

Published Web Location
No data is associated with this publication.

We show that any subgroup of a (virtually) nilpotent-by-polycyclic group satisfies the bounded packing property of Hruska-Wise. In particular, the same is true about 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 subgroup without the bounded packing property. In this example the subgroup is a metabelian retract also. Thus we obtain a negative answer to Problem 2.27 of Hruska-Wise. On the other hand, we show that polycyclic subgroups of solvable groups satisfy the bounded packing property.

Item not freely available? Link broken?
Report a problem accessing this item