Timeline for Finite simple groups and $ \operatorname{SU}_n $
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Sep 26, 2022 at 12:27 | history | edited | Ian Gershon Teixeira | CC BY-SA 4.0 |
deleted 172 characters in body
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| Sep 26, 2022 at 12:20 | history | edited | Ian Gershon Teixeira | CC BY-SA 4.0 |
deleted 172 characters in body
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| Mar 8, 2022 at 12:32 | history | edited | Ian Gershon Teixeira | CC BY-SA 4.0 |
deleted 4 characters in body
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| Feb 2, 2022 at 17:46 | history | edited | Ian Gershon Teixeira | CC BY-SA 4.0 |
added 90 characters in body
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| Jan 31, 2022 at 18:14 | vote | accept | Ian Gershon Teixeira | ||
| Jan 31, 2022 at 17:18 | history | edited | LSpice | CC BY-SA 4.0 |
Name of reference; 25{,}920
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| Jan 31, 2022 at 17:14 | comment | added | LSpice |
$\DeclareMathOperator\PSL{PSL}\DeclareMathOperator\SL{SL}\DeclareMathOperator\Z{Z}$I'm not sure if it's reasonable to call $\PSL_n(q)$ "of Lie type $A_{n - 1}(q)$". I'm not up on the definitions, but I'd expect this to refer only to $\mathbb F_q$-rational points of reductive groups over $\mathbb F_q$, whereas your $\PSL_n(q)$ is not of that type. (If you take not $\SL_n(q)/\Z(\SL_n(q))$ but $(\SL_n/\Z(\SL_n))(q)$, then you get $\operatorname{PGL}_n(q)$.) Similarly for $\operatorname{PSU}$. Also, TeX: $25,920$ needs curly brackets: $25{,}920$ 25{,}920. I edited accordingly.
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| Jan 31, 2022 at 16:47 | answer | added | David A. Craven | timeline score: 8 | |
| Jan 20, 2022 at 20:13 | comment | added | Nate | Not an answer, but I suspect there are too many small values of $m$ for this to be true. In particular the smallest non-trivial representation of $PSL_n(q)$ grows like $q^n$. So varying $n$ and $q$ it's roughly like counting all numbers vs counting prime powers. | |
| Jan 20, 2022 at 17:57 | history | edited | YCor | CC BY-SA 4.0 |
formatting
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| Jan 20, 2022 at 17:53 | history | asked | Ian Gershon Teixeira | CC BY-SA 4.0 |