2 problems

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Decidability conjecture for single equations in Seifert 3-manifold groups
Let $G$ be a Seifert $3$ -manifold group. Its single equation problem asks whether a single equation over $G$ has a solution. Theorem B establishes decidability when the base orbifo…
Conjectureopen3-manifold-groups equations-in-groups seifert-fibered-spacesarXiv posted 2 days ago
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The regular-equation extension conjecture
The regular-equation extension conjecture. Every regular equation in a group $G$ has a solution in some group extending $G$ . This extends the Gerstenhaber–Rothaus theorem from fini…
Conjecturesolvedequations-in-groups group-theoryarXiv posted 2 days ago

Decidability conjecture for single equations in Seifert 3-manifold groups