Timeline for Sylow-subgroups of the group of units of a finite field [closed]
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 3, 2014 at 8:01 | comment | added | Sven Wirsing | Open problem: so the question is answered! | |
| Nov 1, 2014 at 1:51 | comment | added | Padraig Ó Catháin | Zsigmondy's theorem shows that, for fixed p and any value of n, there exists a prime dividing $p^n-1$ which does not divide $p^m-1$ for any $m < n$. en.wikipedia.org/wiki/Zsigmondy's_theorem | |
| Oct 31, 2014 at 17:02 | history | closed |
Alex B. Venkataramana Chris Godsil Stefan Kohl♦ user9072 |
Not suitable for this site | |
| Oct 31, 2014 at 16:15 | comment | added | Sven Wirsing | I think both questions are well formulated. So the answer is what Peter has written already: no answer in general. Thanks:-) | |
| Oct 31, 2014 at 14:58 | comment | added | Boris Bukh | Sometimes (p-1)/2 is a prime, sometimes it is not. Conjecturally, the former happens infinitely often. There is no universal answer. Probably you should explain what you are looking for, and why, so that we can help. Are you interested in a worst case? Then define "worst". Are you interested in average-case behavior, then what are you averaging over, p or n, etc. | |
| Oct 31, 2014 at 11:36 | review | Close votes | |||
| Oct 31, 2014 at 17:02 | |||||
| Oct 31, 2014 at 11:36 | vote | accept | Sven Wirsing | ||
| Oct 31, 2014 at 11:31 | vote | accept | Sven Wirsing | ||
| Oct 31, 2014 at 11:31 | |||||
| Oct 31, 2014 at 9:24 | answer | added | Peter Mueller | timeline score: 5 | |
| Oct 31, 2014 at 8:54 | history | asked | Sven Wirsing | CC BY-SA 3.0 |