Some thoughts and experiments on Bergman's compact amalgamation problem
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...
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| creator | Joswig, Michael Kummer, Mario Thom, Andreas Claudia He Yun |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2304.08365 |
| format | Article |
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| subjects | Amalgamation Mathematics - Group Theory |
| title | Some thoughts and experiments on Bergman's compact amalgamation problem |
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