Timeline for Characterisation of supersolvability of a finite group
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 6, 2017 at 10:03 | review | Close votes | |||
| Sep 7, 2017 at 0:00 | |||||
| Sep 6, 2017 at 6:19 | comment | added | R Maharaj | Indeed @DerekHolt, thank you. The non-normal subgroup, say $H$ of $D_8$ order 2, which is isomorphic to $\mathbb{Z_2}$, has normaliser, $N_{D_8} (H) = V_4$, which is the Klein 4-group. Thus $H$ cannot be self-normalisiing, and consequently not abnormal in $G$. | |
| Sep 5, 2017 at 19:10 | comment | added | Derek Holt | How about the dihedral group of order $8$? | |
| Sep 5, 2017 at 18:03 | history | asked | R Maharaj | CC BY-SA 3.0 |