Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909146255720448 |
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| author | Breuillard, Emmanuel Kocharyan, Georgi |
| author_facet | Breuillard, Emmanuel Kocharyan, Georgi |
| contents | The show that the upper-left-corner problem and upper-right-corner problem for matrix groups with rational entries are undecidable. To reach this aim, we answer a question of Dixon from 1985 by proving the undecidability of the stabilizer problem for matrix groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14875 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups Breuillard, Emmanuel Kocharyan, Georgi Group Theory Logic 20F10, 20F05, 03D40 The show that the upper-left-corner problem and upper-right-corner problem for matrix groups with rational entries are undecidable. To reach this aim, we answer a question of Dixon from 1985 by proving the undecidability of the stabilizer problem for matrix groups. |
| title | Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups |
| topic | Group Theory Logic 20F10, 20F05, 03D40 |
| url | https://arxiv.org/abs/2403.14875 |