On Bounded Packing in Polycyclic Groups
Group Theory
2012-07-12 v4
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=<t> in the semidirect product of Z^2 with Z.
Cite
@article{arxiv.1011.5953,
title = {On Bounded Packing in Polycyclic Groups},
author = {Jordan Sahattchieve},
journal= {arXiv preprint arXiv:1011.5953},
year = {2012}
}