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Timeline for A Shelah group in ZFC?

Current License: CC BY-SA 4.0

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Dec 7, 2022 at 0:00 comment added David Roberts Ok, thanks, that helps.
Dec 6, 2022 at 11:49 comment added Taras Banakh @DavidRoberts I had in mind that this is a partial answer because it only imposes the upper bound $n\le 36$ for that number $n$ and we still do not know the exact value of the largest number $n$ such that every $n$-Shelah group is finite. We know only that $3\le n<36$. Another reason for a partial answer is that this upper bound depends on some set-theoretic assumptions, so it is not a ZFC-result (exactly as you have written).
Dec 6, 2022 at 8:23 comment added David Roberts To clarify: this is a partial result due to the fact it's constructed in ZFC+CH and not ZFC?
Dec 6, 2022 at 4:49 history answered Taras Banakh CC BY-SA 4.0