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Aug 11, 2023 at 4:54 history edited testaccount CC BY-SA 4.0
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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
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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