Timeline for normalizer quotient is $\operatorname{GL}_2(p)$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 21, 2023 at 22:58 | vote | accept | user488802 | ||
| Jun 21, 2023 at 22:09 | vote | accept | user488802 | ||
| Jun 21, 2023 at 22:27 | |||||
| S Jun 21, 2023 at 21:24 | history | suggested | Arbuja | CC BY-SA 4.0 |
Made the post easier to read
|
| Jun 21, 2023 at 20:51 | review | Suggested edits | |||
| S Jun 21, 2023 at 21:24 | |||||
| Jun 21, 2023 at 9:19 | vote | accept | user488802 | ||
| Jun 21, 2023 at 22:05 | |||||
| Jun 21, 2023 at 8:54 | answer | added | Dave Benson | timeline score: 3 | |
| Jun 21, 2023 at 8:52 | comment | added | user488802 | Thank you for your input. Yes, it is odd. I am thinking about the connection between all nontrivials being conjugate to $e$ and the group $P$ or the image of $P$. How are $E$ and the image of $P$ identified？ | |
| Jun 21, 2023 at 8:46 | comment | added | Dave Benson | Presumably your prime $p$ is odd? | |
| Jun 21, 2023 at 8:37 | comment | added | Dave Benson | What you're looking at is representation theory of an extraspecial group $P$ of order $p^3$ and exponent $p$. The central element of order $p$ disappears when you quotient out the scalars, and the automorphism group of $P$ is $p^2GL_2(p)$. | |
| Jun 21, 2023 at 8:26 | history | asked | user488802 | CC BY-SA 4.0 |