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Aug 4, 2022 at 10:10 comment added Angelo Thanks a lot. So, it appears that the is no standard name; but the paper by Lucchini, Menegazzo and Morigi is very interesting.
Aug 3, 2022 at 18:11 comment added Derek Holt In fact this property makes perfect sense for all groups, finite infinite.
Aug 3, 2022 at 18:05 comment added LSpice Name of the paper referenced by @Carl-FredrikNybergBrodda: Lucchini, Menegazzo, and Morigi - On the existence of a complement for a finite simple group in its automorphism group; title of the question referenced in the same comment: Non-split Aut(G) $\to$ Out(G)?
Aug 3, 2022 at 18:04 history edited LSpice CC BY-SA 4.0
Missing `$ $`
Aug 3, 2022 at 16:38 comment added Carl-Fredrik Nyberg Brodda The finite simple groups with this property are characterised in this paper. See also this question, which I just noticed.
Aug 3, 2022 at 16:03 history asked Angelo CC BY-SA 4.0