Rational Growth in Virtually Abelian Groups
Group Theory
2019-09-12 v2
Abstract
We show that any subgroup of a finitely generated virtually abelian group grows rationally relative to , that the set of right cosets of any subgroup of grows rationally, and that the set of conjugacy classes of grows rationally. These results hold regardless of the choice of finite weighted generating set for .
Cite
@article{arxiv.1808.06371,
title = {Rational Growth in Virtually Abelian Groups},
author = {Alex Evetts},
journal= {arXiv preprint arXiv:1808.06371},
year = {2019}
}
Comments
36 pages. Updated according to referee's suggestions. To appear in Illinois Journal of Mathematics