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arXiv · 2304.08365

Some thoughts and experiments on Bergman's compact amalgamation problem

Michael Joswig·Mario Kummer·Andreas Thom·Claudia He Yun
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Abstract

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.

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Michael Joswig, Mario Kummer, Andreas Thom, Claudia He Yun. 2023-04-17. Some thoughts and experiments on Bergman's compact amalgamation problem. https://doi.org/10.1007/s13366-023-00709-8

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