Timeline for Existence of a regular semisimple element over $\mathbb{F}_{q}$
Current License: CC BY-SA 4.0
6 events
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Aug 11, 2023 at 4:54 | history | edited | testaccount | CC BY-SA 4.0 |
deleted 33 characters in body
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Aug 11, 2023 at 4:51 | comment | added | testaccount | @LSpice: Yes you are right, to use 2.7(a) we need to assume that $G$ acts transitively on $M$. So this argument with Lang-Steinberg just shows that if there exists a $\sigma$-invariant conjugacy class $C$, then the fixed point set $C_{\sigma}$ is nonempty. | |
Aug 11, 2023 at 4:31 | history | edited | LSpice | CC BY-SA 4.0 |
Typo; links
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Aug 11, 2023 at 4:28 | comment | added | LSpice | As far as I can see, 2.7(a) requires a homogeneous space $M$ for $G$. What $M$ are you using? (If you're letting $M$ be the variety of regular semisimple elements, then it is usually not a homogeneous space for $G$.) | |
S Aug 8, 2023 at 2:52 | review | First answers | |||
Aug 8, 2023 at 4:47 | |||||
S Aug 8, 2023 at 2:52 | history | answered | testaccount | CC BY-SA 4.0 |