Timeline for Subgroups of finite solvable groups with paradoxical properties
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 7, 2017 at 23:43 | comment | added | Derek Holt | Yes that's right! I must have been conjecturing that there are no examples. | |
| Mar 7, 2017 at 22:35 | comment | added | LSpice | @DerekHolt, I guess "no counterexamples" means "no examples", right? | |
| Jan 11, 2014 at 11:44 | comment | added | Derek Holt | I verified that there are no counterexamples of order up to $2000$, but that is not surprising! | |
| Jan 10, 2014 at 4:01 | comment | added | Lev Borisov | Have you tried running through the small groups GAP database? | |
| Jan 7, 2014 at 21:22 | answer | added | Marty Isaacs | timeline score: 13 | |
| Jan 6, 2014 at 19:23 | answer | added | Geoff Robinson | timeline score: 12 | |
| Jan 3, 2014 at 10:02 | comment | added | Derek Holt | $H_1$ cannot be core-free, because that would imply $G=H_1N$ with $N$ an elementary abelian $p$-group and $O_p(H_1)=1$. But then $O_p(H_2)=1$ and $|H_1|=|H_2|$, so $G=H_2N$ and hence $H_2$ is maximal. The general case seems more complicated. | |
| Jan 3, 2014 at 5:51 | review | First posts | |||
| Jan 3, 2014 at 6:35 | |||||
| Jan 3, 2014 at 5:36 | history | asked | Moshe Newman | CC BY-SA 3.0 |