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Using edt0l systems to solve some equations in the solvable Baumslag-Solitar groups
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Duncan, Andrew, Evetts, Alex, Holt, Derek F. and Rees, Sarah (2023) Using edt0l systems to solve some equations in the solvable Baumslag-Solitar groups. Journal of Algebra, 630 . pp. 434-456. doi:10.1016/j.jalgebra.2023.04.020 ISSN 0021-8693.
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2023.04.020
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.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Equations, Group theory, Discrete mathematics , Programming languages (Electronic computers) -- Mathematical models, Infinite groups, Multiplication | ||||||||
Journal or Publication Title: | Journal of Algebra | ||||||||
Publisher: | Elsevier | ||||||||
ISSN: | 0021-8693 | ||||||||
Official Date: | 15 September 2023 | ||||||||
Dates: |
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Volume: | 630 | ||||||||
Page Range: | pp. 434-456 | ||||||||
DOI: | 10.1016/j.jalgebra.2023.04.020 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 10 May 2023 |
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