Timeline for Operation of a p'-group on a set of p-power order and fix points
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 13, 2018 at 16:12 | comment | added | Sven Wirsing | Taft has enhanced this theorem within his article Earl J. Taft, Orthogonai Conjugacies in Finite Groups, Math. Annalen 170, 37-40, 1967. | |
| Sep 7, 2018 at 23:26 | comment | added | Richard Lyons | Yes, fair enough. | |
| Sep 6, 2018 at 15:42 | comment | added | Frieder Ladisch | Yes, indeed. But in the particular situation of the question, we know that $N$ is nilpotent (in fact a $p$-group). | |
| Sep 5, 2018 at 20:56 | comment | added | Richard Lyons | Interestingly, the proof in these sources depends on knowing that at least one of $G$ and $N$ is solvable. This in turn is justified by quoting the Odd Order Theorem of Feit and Thompson. | |
| Sep 3, 2018 at 23:40 | vote | accept | Sven Wirsing | ||
| Sep 3, 2018 at 17:33 | history | answered | Frieder Ladisch | CC BY-SA 4.0 |