The cogrowth series for $\mathrm{BS}(N,N)$ is D-finite
Group Theory
2014-06-09 v3 Combinatorics
Abstract
We compute the cogrowth series for Baumslag-Solitar groups , which we show to be D-finite. It follows that their cogrowth rates are algebraic numbers.
Keywords
Cite
@article{arxiv.1309.4184,
title = {The cogrowth series for $\mathrm{BS}(N,N)$ is D-finite},
author = {M. Elder and A. Rechnitzer and E. J. Janse van Rensburg and T. Wong},
journal= {arXiv preprint arXiv:1309.4184},
year = {2014}
}
Comments
16 pages, 1 figure, 1 table. This article supersedes arXiv:1210.3425