Timeline for Automorphism Group of a p-group (finitely generated)
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 30, 2012 at 17:12 | comment | added | Andreas Blass |
The bound Arturo gave is not $O(p^{2n})$ but $O(p^{n^2})$.
|
|
| May 30, 2012 at 16:38 | comment | added | jason mfash | So, is it true that the order of the aut group if $O(p^{2n})$? | |
| May 30, 2012 at 16:33 | vote | accept | jason mfash | ||
| May 30, 2012 at 16:30 | answer | added | Arturo Magidin | timeline score: 2 | |
| May 30, 2012 at 16:12 | comment | added | Arturo Magidin | See this previous question: mathoverflow.net/questions/68109/…. The order of the automorphism group of a group of order $p^n$ divides $(p^n-1)(p^n-p)\cdots(p^n-p^{n-1})$, and the bound is sharp, achieved by the elementary abelian $p$-group of rank $n$. | |
| May 30, 2012 at 16:04 | history | asked | jason mfash | CC BY-SA 3.0 |