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Jul 16, 2019 at 11:04 vote accept Peter
Jul 16, 2019 at 11:04 comment added Peter Great! The section is a homomorphism in the application that I have in mind, which is probably why I got that mixed up.
Jul 15, 2019 at 21:41 comment added David Roberts Well, that would be a lot easier! But it's not clear that that gives an action (it definitely would if the section were a homomorphism).
Jul 15, 2019 at 13:36 comment added Peter Thank you for the answer! I guess we could use the section $\sigma: H \rightarrow \hat{G}|_{H}$ to describe the right action $\hat{G} \times H \rightarrow \hat{G}$ explicitly as $(\hat{g},h) \mapsto \hat{g} \sigma(h)$, correct?
Jul 15, 2019 at 11:47 history answered David Roberts CC BY-SA 4.0