Using edt0l systems to solve some equations in the solvable Baumslag-Solitar groups

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

doi:10.1016/j.jalgebra.2023.04.020

Using edt0l systems to solve some equations in the solvable Baumslag-Solitar groups

Andrew Duncan, Alex Evetts + Show 2 more

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https://doi.org/10.1016/j.jalgebra.2023.04.020

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Journal: Journal of Algebra	Publication Date: May 2, 2023
Citations: 3	License type: cc-by

Affiliation: Newcastle University, University of Manchester, University of Warwick

#Solvable Baumslag-Solitar Groups #Solvable Groups + Show 8 more

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Abstract

We investigate the solution sets to equations in the solvable Baumslag-Solitar groups BS(1,k), k≥2, 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.

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