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Sep 5, 2022 at 0:04 comment added user44312 Thanks very much! I get your point.
Sep 3, 2022 at 15:47 answer added Geoff Robinson timeline score: 3
Sep 3, 2022 at 7:59 history edited YCor CC BY-SA 4.0
fixed typo
Sep 3, 2022 at 4:44 comment added spin For a simple group $G = G(p^d)$ of Lie type, the order of $Out(G)$ is often something like $d$ or $\gcd(p-1,2) d$. While $|G|$ has factors of the form $p^{ed}-1$. Then you can probably use Zsigmondy's theorem in most cases to conclude that what you ask is true.
Sep 3, 2022 at 4:11 history asked user44312 CC BY-SA 4.0