Twisted conjugacy in dihedral Artin groups II: Baumslag Solitar groups $\mathrmBS(n,n)$
<|reference_start|>Twisted conjugacy in dihedral Artin groups II: Baumslag Solitar groups $\mathrmBS(n,n)$: In this second paper we solve the twisted conjugacy problem for even dihedral Artin groups, that is, groups with presentation $G(m) = \langle a,b \mid {}_{m}(a,b) = {}_{m}(b,a) \rangle$, where $m \geq 2$ is even, and $_{m}(a,b)$ is the word $abab\dots$ of length $m$. Similar to odd dihedral Artin groups, we prove orbit decidability for all subgroups $A \leq \mathrm{Aut}(G(m))$, which then implies that the conjugacy problem is solvable in extensions of even dihedral Artin groups.<|reference_end|>
@article{crowe2024twisted,
    title={Twisted conjugacy in dihedral Artin groups II: Baumslag Solitar groups
  $\mathrm{BS}(n,n)$},
    author={Gemma Crowe},
    journal={arXiv preprint arXiv:2404.04705},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.04705},
    primaryClass={math.GR cs.CC}
}