Timeline for Counting conjugacy classes in simple groups of Lie type
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 1, 2013 at 17:42 | vote | accept | Jim Humphreys | ||
| Jun 1, 2013 at 17:42 | comment | added | Jim Humphreys |
@Stefan: Yes, the added information is very helpful. The older published results on $F_4(q)$ were included in my book, but I haven't yet checked out everything Lubeck and others have computed in recent years. (Note that Lubeck is using the alternative convention which involves $q^2$ rather than $q$, so in my notation above the class number would read $q^2 +4q + 17$.) Meanwhile I'm still curious to understand a priori the format of such results, which is intuitively consistent with Jordan decomposition but hard to make rigorous.
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| Jun 1, 2013 at 17:21 | comment | added | Stefan Kohl♦ | @Jim: I have added the class number formula for $^2{\rm F}_4(q^2)$ -- is that what you are looking for? | |
| Jun 1, 2013 at 17:20 | history | edited | Stefan Kohl♦ | CC BY-SA 3.0 |
Added reference to Frank Luebeck's database, and class number formula for ^2F_4(q^2).
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| Jun 1, 2013 at 16:31 | comment | added | Jim Humphreys |
@Stefan: I should have emphasized that the Ree group of type $F_4$ is not the original Chevalley group studied by Fleischmann-Janiszczak but rather a proper subgroup of it: fixed points of a special Frobenius morphism involving a graph symmetry which interchanges long and short roots
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| Jun 1, 2013 at 16:04 | history | answered | Stefan Kohl♦ | CC BY-SA 3.0 |