Timeline for Groups all of whose extensions are split
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 18, 2022 at 6:43 | answer | added | Brauer Suzuki | timeline score: 7 | |
| Oct 7, 2021 at 16:29 | history | became hot network question | |||
| Oct 7, 2021 at 9:52 | answer | added | YCor | timeline score: 14 | |
| Oct 7, 2021 at 9:31 | comment | added | YCor | For a group $G$ with trivial center, it holds iff $1\to G\to \mathrm{Aut}(G)\to\mathrm{Out}(G)\to 1$ splits. Remains to see whether the condition can happen for any group with nontrivial center. | |
| Oct 7, 2021 at 8:55 | comment | added | YCor | Another question is whether a finite group satisfying the condition within finite groups, satisfies the condition in general. | |
| Oct 7, 2021 at 8:53 | comment | added | YCor | Every abelian group can be embedded into the center of a perfect group; in particular, no nontrivial abelian group satisfies this property. | |
| Oct 7, 2021 at 8:38 | comment | added | Mariano Suárez-Álvarez | This is related to this. | |
| Oct 7, 2021 at 8:29 | history | asked | Mariano Suárez-Álvarez | CC BY-SA 4.0 |