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Oct 13, 2023 at 23:21 review Close votes
Oct 14, 2023 at 9:22
Oct 13, 2023 at 23:13 vote accept Andrea Aveni
Oct 13, 2023 at 16:53 history edited Michael Hardy CC BY-SA 4.0
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Oct 13, 2023 at 16:36 answer added Dave Benson timeline score: 4
Oct 13, 2023 at 16:23 comment added Andrea Aveni Thank you @YCor. The maximality assumption is essential and I now moved it.
Oct 13, 2023 at 16:20 history edited Andrea Aveni CC BY-SA 4.0
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Oct 13, 2023 at 15:59 history edited Max Horn CC BY-SA 4.0
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Oct 13, 2023 at 15:12 comment added YCor Your assertion that $h\in H$ implies $|\langle G,h\rangle|=2|G|$ is incorrect. Indeed $\langle G,h\rangle\cap\mathrm{SO}_n$ can be larger than $G$ (pick $G=\{1\}$ to find the most trivial counterexamples). Or add the condition $\langle G,h\rangle\cap\mathrm{SO}_n=G$ in your definition of $H$.
Oct 13, 2023 at 14:35 history asked Andrea Aveni CC BY-SA 4.0