Timeline for How many conjugacy classes of elementary abelian subgroups of order $p^2$ does $\operatorname{GL}_{4}(\Bbb Z / p\Bbb Z)$ have?
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 17, 2020 at 0:11 | history | edited | Nourddine Snanou | CC BY-SA 4.0 |
deleted 358 characters in body
|
| Nov 13, 2020 at 21:44 | history | edited | Nourddine Snanou | CC BY-SA 4.0 |
added 19 characters in body
|
| Nov 13, 2020 at 21:34 | history | edited | Nourddine Snanou | CC BY-SA 4.0 |
added 19 characters in body
|
| Nov 13, 2020 at 20:46 | history | edited | LSpice | CC BY-SA 4.0 |
Removed spurious space after editing
|
| Nov 13, 2020 at 18:33 | history | edited | Nourddine Snanou | CC BY-SA 4.0 |
deleted 231 characters in body
|
| Nov 7, 2020 at 0:34 | history | edited | LSpice | CC BY-SA 4.0 |
Title and proofreading (and deleted 'thank you')
|
| Nov 6, 2020 at 21:14 | comment | added | YCor | Note that for $p=2,3$ there are elements of order $p^2$ too. | |
| Nov 6, 2020 at 20:29 | history | edited | Nourddine Snanou | CC BY-SA 4.0 |
edited title
|
| Nov 6, 2020 at 20:03 | comment | added | Derek Holt | If it's any help, the answers (to both questions) when $p=2,3,5,7$ are $6,10,12,12$. That's as far as I can go with naive computation. | |
| Nov 6, 2020 at 19:59 | comment | added | Nourddine Snanou | @Derek Holt, thank you for your comment. Of course f is injective. | |
| Nov 6, 2020 at 19:52 | history | edited | Nourddine Snanou | CC BY-SA 4.0 |
added 29 characters in body
|
| Nov 6, 2020 at 19:50 | comment | added | Derek Holt | I am not sure that I believe that knowing just the number of isomorphism classes of semidirect products will enable you to compute the number of conjugacy classes of subgroups $C_p^2$ in ${\rm GL} (4,p)$. Not all of the homomorphisms $f$ are injective. Also, it is not clear (to me) that the isomorphism of two of the semidirect products would imply the conjugacy of the corresponding subgroups of ${\rm GL} (4,p)$. | |
| Nov 6, 2020 at 19:44 | history | edited | Nourddine Snanou | CC BY-SA 4.0 |
added 276 characters in body
|
| Nov 6, 2020 at 19:30 | comment | added | YCor | The title seems distinct from the question (even if there is a relation). If there is a reduction from the main question to the title question, please incorporate in the question. | |
| Nov 6, 2020 at 19:29 | history | edited | YCor | CC BY-SA 4.0 |
formatting
|
| Nov 6, 2020 at 19:26 | history | asked | Nourddine Snanou | CC BY-SA 4.0 |