Groups with context-free Diophantine problem
We find algebraic conditions on a group equivalent to the position of its Diophantine problem in the Chomsky Hierarchy. In particular, we prove that a finitely generated group has a context-free Diophantine problem if and only if it is finite.
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| Veröffentlicht in: | Groups, complexity, cryptology complexity, cryptology, 2021-01, Vol.13, Issue 1 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We find algebraic conditions on a group equivalent to the position of its
Diophantine problem in the Chomsky Hierarchy. In particular, we prove that a
finitely generated group has a context-free Diophantine problem if and only if
it is finite. |
|---|---|
| ISSN: | 1869-6104 1869-6104 |
| DOI: | 10.46298/jgcc.2021.13.1.7347 |