Geodesic growth in virtually abelian groups
Group Theory
2020-12-15 v4
Abstract
We show that the geodesic growth function of any finitely generated virtually abelian group is either polynomial or exponential; and that the geodesic growth series is holonomic, and rational in the polynomial growth case. In addition, we show that the language of geodesics is blind multicounter.
Keywords
Cite
@article{arxiv.1908.07294,
title = {Geodesic growth in virtually abelian groups},
author = {Alex Bishop},
journal= {arXiv preprint arXiv:1908.07294},
year = {2020}
}
Comments
23 pages, 1 figure, improved readability