Some thoughts and experiments on Bergman's compact amalgamation problem
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929426722193408 |
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| author | Joswig, Michael Kummer, Mario Thom, Andreas Yun, Claudia He |
| author_facet | Joswig, Michael Kummer, Mario Thom, Andreas Yun, Claudia He |
| contents | We study the question whether copies of $S^1$ in $\mathrm{SU}(3)$ can be amalgamated in a compact group. This is the simplest instance of a fundamental open problem in the theory of compact groups raised by George Bergman in 1987. Considerable computational experiments suggest that the answer is positive in this case. We obtain a positive answer for a relaxed problem using theoretical considerations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_08365 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some thoughts and experiments on Bergman's compact amalgamation problem Joswig, Michael Kummer, Mario Thom, Andreas Yun, Claudia He Group Theory 22C05, 18B99, 90-05, 90C90 We study the question whether copies of $S^1$ in $\mathrm{SU}(3)$ can be amalgamated in a compact group. This is the simplest instance of a fundamental open problem in the theory of compact groups raised by George Bergman in 1987. Considerable computational experiments suggest that the answer is positive in this case. We obtain a positive answer for a relaxed problem using theoretical considerations. |
| title | Some thoughts and experiments on Bergman's compact amalgamation problem |
| topic | Group Theory 22C05, 18B99, 90-05, 90C90 |
| url | https://arxiv.org/abs/2304.08365 |