Timeline for Is every finite group the outer automorphism group of a finite group?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| May 9 at 4:42 | comment | added | Brauer Suzuki | Thanks. One more thing: I think the order of magnitude of $|H|$ is about $|Q|^{|Q|^{|Q|}}$ (explained in my paper). | |
| May 8 at 19:27 | comment | added | YCor | @BrauerSuzuki You're right. I've fixed the proof, with an additional lemma (and then some simplification). It consists in directly checking that in the given group $H$, being a permutation of factors modulo $[G,G]$ implies permuting the given generators of $G$. | |
| May 8 at 19:25 | history | edited | YCor | CC BY-SA 4.0 |
Fixed error
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| May 8 at 17:13 | comment | added | Brauer Suzuki | In the proof of Prop1: $f$ permutes the factors of $H/[G,G]$, but in the subsequent sentence $f$ is already the identity on $D$. How is this possible? Your proof of Lemma 5 works inside a non-nilpotent Lie algebra. Can the result actually be used for the nilpotent algebra at hand? | |
| Oct 9, 2021 at 11:48 | comment | added | Brauer Suzuki | Have you turned this into a paper? (it's worth it) | |
| Oct 23, 2020 at 16:07 | vote | accept | user1729 | ||
| Sep 25, 2020 at 11:50 | history | answered | YCor | CC BY-SA 4.0 |