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Since the Monster has a 3-cocycle of order 24, she’s looking at the categorical central extension by .
Interesting. I thought we already had cited some work by Nora on this matter — since she has been thinking about this 2-group approach to the Monster for a long time now, if I recall correctly — but now I can’t find it. A hint is in Example 6.5 on p. 13 of “Categorical Tori”.
Maybe something from her research programme statement (on Nora Ganter)
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