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arXiv · 1011.5953

On Bounded Packing in Polycyclic Groups

Jordan Sahattchieve
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Abstract

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. We also introduce the notion of coset growth and obtain a bound for the coset growth of subgroup H= in the semidirect product of Z^2 with Z.

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Jordan Sahattchieve. 2012-07-11. On Bounded Packing in Polycyclic Groups. https://arxiv.org/abs/1011.5953

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