Timeline for When $[G_k,G_m] = G_{k+m}$?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 26, 2011 at 15:39 | comment | added | Steve D | $A_4$ is another (finite) example. | |
| Oct 26, 2011 at 14:59 | vote | accept | qkqh | ||
| Oct 26, 2011 at 14:58 | vote | accept | qkqh | ||
| Oct 26, 2011 at 14:58 | |||||
| Oct 26, 2011 at 13:34 | comment | added | Qfwfq | @qkqh: I suppose $D_{\infty}$ is the infinite dihedral group $\mathbb{Z}\rtimes\mathbb{Z}/2$. | |
| Oct 26, 2011 at 13:19 | comment | added | qkqh | Sorry for you to confuse. Derek Holt is right. And what is $D_\infty$? | |
| Oct 26, 2011 at 11:58 | answer | added | Derek Holt | timeline score: 8 | |
| Oct 26, 2011 at 11:51 | comment | added | HJRW | As $D_\infty$ is metabelian but not nilpotent, it follows that $F_m$ is not contained in $[F_k,F_k]$ for any $k$. | |
| Oct 26, 2011 at 11:50 | comment | added | Derek Holt | Presumably the lower central series | |
| Oct 26, 2011 at 10:21 | comment | added | Steve D | Can you say what $G_k$ etc. means? | |
| Oct 26, 2011 at 10:16 | history | asked | qkqh | CC BY-SA 3.0 |