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Oct 20, 2023 at 7:28 vote accept Salvo Tringali
Oct 20, 2023 at 7:26 answer added Salvo Tringali timeline score: 2
Oct 16, 2023 at 6:47 comment added Salvo Tringali Thank you, Ben, I was not aware of Shafer's note. As for the last question in the OP, there is a comment from Oct 2012 that sounds relevant: mathoverflow.net/questions/110412/#comment284325_110421 (the comment is essentially asking if a group can only be globally isomorphic to another group, and in a subsequent comment it is explained how the answer is yes if the group is finite).
Oct 15, 2023 at 20:11 comment added Benjamin Steinberg It appears that Shafer published a 1 page note in the same issue (on page 32) handling general groups. Shafer, J. Note on power semigroups. Math. Japon. 12 (1967), 32. My guess is they somehow missed something obvious when first writing the paper and then figured out the correct result before it appeared. But I also cannot access the paper.
Oct 15, 2023 at 19:40 history edited Salvo Tringali CC BY-SA 4.0
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