Timeline for Normalisers and stabilisers in classical groups $\operatorname{PGL}_{4}$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 13, 2022 at 20:36 | comment | added | user488802 | OK. Thank you anyway! | |
| Dec 12, 2022 at 9:26 | comment | added | Derek Holt | Sorry, but the only reference I have for this is Section 4.6 of "The Subgroup Structure of the Finite Classical groups" by Kleidman and Liebeck. The relevant information is contained in the last two lines of Table 4.6B, but you might struggle to track down a nice self-contained proof of these statements. | |
| Dec 11, 2022 at 8:14 | comment | added | user488802 | Thank you. Do you have some reference for the first one? Appreciate your time! | |
| Dec 11, 2022 at 8:07 | comment | added | Derek Holt | Yes, sorry, the second ${\rm GO}^+$ should be ${\rm GO}^-$. | |
| Dec 11, 2022 at 7:40 | comment | added | user488802 | Also, do you mean"$ZS^+ {\rm GO}^+(4,2)$ and $ZS^- {\rm GO}^-(4,2)$ ."? Thank you. | |
| Dec 11, 2022 at 7:39 | comment | added | user488802 | Hello. Could you please point me to some reference including a proof of "When $q \equiv 3 \bmod 4$, $G := {\rm GL}(4,q)$ has extraspecial subgroups $S^+$ and $S^-$ of two different types, with normalizers $ZS^+ {\rm GO}^+(4,2)$ and $ZS^- {\rm GO}^+(4,2)$."? | |
| Nov 30, 2022 at 1:54 | vote | accept | user488802 | ||
| Nov 27, 2022 at 17:47 | history | edited | Derek Holt | CC BY-SA 4.0 |
deleted 6 characters in body
|
| Nov 27, 2022 at 15:57 | history | answered | Derek Holt | CC BY-SA 4.0 |