Timeline for Applications for p-Sylow subgroups theorem
Current License: CC BY-SA 3.0
2 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 23, 2011 at 5:43 | comment | added | KConrad | Turning things around, once you show that the existence of a p-Sylow subgroup for a finite group implies existence of a p-Sylow subgroup for any of its subgroups, the fact that the upper triangular matrices with 1's on the diagonal are a p-Sylow subgroup of GL_n(F_p) implies existence of p-Sylow subgroups in all finite groups. That is how Serre likes to prove the existence part of the Sylow theorems in lectures and books where I've seen him discuss the theorem. | |
| Jun 23, 2011 at 3:11 | history | answered | Benjamin Steinberg | CC BY-SA 3.0 |