arXiv:2204.13758 Abstract | arXiv Analytics

arXiv:2204.13758 [math.GR]Abstract References Reviews Resources

Using EDT0L systems to solve equations in the solvable Baumslag-Solitar groups

Andrew Duncan, Alex Evetts, Derek F. Holt, Sarah Rees

Published 2022-04-28Version 1

We investigate the solution sets to equations in the solvable Baumslag-Solitar groups $BS(1,k)$, $k\geq2$, 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 \E language in an appropriate sense.

Comments: 29 pages, 1 figure

Categories: math.GR

Subjects: 03D05, 20F65, 20F70, 68Q45

Keywords: solvable baumslag-solitar groups, edt0l systems, solution sets, edt0l languages, group forms

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