Timeline for When is an almost simple group a split extension of its socle?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 8, 2016 at 3:36 | vote | accept | Binzhou Xia | ||
| Sep 8, 2016 at 3:35 | vote | accept | Binzhou Xia | ||
| Sep 8, 2016 at 3:36 | |||||
| Sep 7, 2016 at 7:04 | answer | added | Glasby | timeline score: 4 | |
| Aug 24, 2016 at 2:46 | comment | added | Binzhou Xia | @DerekHolt Thank you Derek. I have replaced "split" with "non-split" in the question. | |
| Aug 24, 2016 at 2:45 | history | edited | Binzhou Xia | CC BY-SA 3.0 |
added 4 characters in body
|
| Aug 23, 2016 at 17:21 | comment | added | Derek Holt | I can't give you an accurate answer, but my impression is that almost simple groups are split extensions more often than not. The only cases of non-splitting that I have come across are extensions by a product of a field and a diagonal automorphisms of the same order, which is the case for the ${\rm PSL}(2,9)$ example. The same thing happens for ${\rm PSL}(2,q^2)$ for any odd $q$. And you could would get similar nonsplitting for extensions of ${\rm PSL}(3,q^3)$ with $q \equiv 1 \pmod 3$, for example. | |
| Aug 23, 2016 at 1:57 | history | asked | Binzhou Xia | CC BY-SA 3.0 |