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doi:10.22028/D291-46453 | Title: | Equations in wreath products |
| Author(s): | Pernak, Leon Dong, Ruiwen Wächter, Jan Philipp Bartholdi, Laurent |
| Language: | English |
| Title: | Semigroup Forum |
| Volume: | 111 |
| Issue: | 2 |
| Pages: | 512-518 |
| Publisher/Platform: | Springer Nature |
| Year of Publication: | 2025 |
| Free key words: | Quadratic equations Diophantine problem Wreath product Baumslag’s finitely presented metabelian group |
| DDC notations: | 510 Mathematics |
| Publikation type: | Journal Article |
| Abstract: | We survey solvability of equations in wreath products of groups, and prove that the quadratic diophantine problem is solvable in wreath products of Abelian groups. We consider the related question of determining commutator width, and prove that the quadratic diophantine problem is also solvable in Baumslag’s finitely presented metabelian group. This text is a short version of an extensive article by the first-named authors. |
| DOI of the first publication: | 10.1007/s00233-025-10511-8 |
| URL of the first publication: | https://link.springer.com/article/10.1007/s00233-025-10511-8 |
| Link to this record: | urn:nbn:de:bsz:291--ds-464538 hdl:20.500.11880/40732 http://dx.doi.org/10.22028/D291-46453 |
| ISSN: | 1432-2137 0037-1912 |
| Date of registration: | 24-Oct-2025 |
| Faculty: | MI - Fakultät für Mathematik und Informatik |
| Department: | MI - Mathematik |
| Professorship: | MI - Prof. Dr. Laurent Bartholdi |
| Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
| File | Description | Size | Format | |
|---|---|---|---|---|
| s00233-025-10511-8.pdf | 190,31 kB | Adobe PDF | View/Open |
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