论文标题

使用EDT0L系统在可解决的Baumslag-Solitar组中求解某些方程

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

论文作者

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

论文摘要

我们调查了可解决的baumslag-solitar-solitar-soled $ bs(1,k)$,$ k \ geq2 $中方程的解决方案集,并表明这些集合在某些情况下由EDT0L语言表示。特别是,我们证明了此类组的乘法表相对于组元素的特定自然正常形式形成了EDT0L语言。

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 EDT0L language with respect to a specific natural normal form for group elements.

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