On Bounded Packing in Polycyclic Groups

Details On Bounded Packing in Polycyclic Groups On Bounded Packing in Polycyclic Groups

2010-11-27

arxiv.org/abs/1011.5953v3

Mathematics

Group Theory

Scientific paper

In this paper, we show that any subgroup of a semidirect product of Z^n with
Z has bounded packing as long as the action of Z on Z^n is by diagonalizable
automorphisms all of whose eigenvalues are real. We use this result to show
that any subgroup in a polycyclic group of length 3 or less has bounded
packing.

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