Using EDT0L systems to solve some equations in the solvable Baumslag-Solitar groups
Group Theory
2023-01-09 v2
Abstract
We investigate the solution sets to equations in the solvable Baumslag-Solitar groups , , and show that these sets are represented by EDT0L languages in some cases. In particular, we prove that the multiplication table of such a group forms an EDT0L language with respect to a specific natural normal form for group elements.
Cite
@article{arxiv.2204.13758,
title = {Using EDT0L systems to solve some equations in the solvable Baumslag-Solitar groups},
author = {Andrew Duncan and Alex Evetts and Derek F. Holt and Sarah Rees},
journal= {arXiv preprint arXiv:2204.13758},
year = {2023}
}
Comments
30 pages, 1 figure