Undecidability of the Diophantine problem is established for generalised Baumslag-Solitar groups, one-relator products of cyclic groups, and free-by-free groups of the form F3 ⋊ F2.
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Undecidable Diophantine problems in generalisations of one-relator groups
Undecidability of the Diophantine problem is established for generalised Baumslag-Solitar groups, one-relator products of cyclic groups, and free-by-free groups of the form F3 ⋊ F2.