Timeline for Generation of $\mathrm{SO}(n,\mathbb{Q})$ by coordinate subgroups
Current License: CC BY-SA 4.0
4 events
when toggle format | what | by | license | comment | |
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Oct 11, 2023 at 16:52 | vote | accept | IJL | ||
Oct 11, 2023 at 16:52 | |||||
Oct 11, 2023 at 13:17 | comment | added | YCor | At least if RH holds (I just need that for infinitely many prime $p$ in $4\mathbf{Z}+3$, $p^2$ is sum of 3 nonzero squares — if RH then all such $p$ work), then for $n=3$, the group $H_n$ generated by stabilizers of basis vectors, has infinite index in $\mathrm{SO}(3,\mathbf{Q})$. I'm not sure whether $H_4$ has infinite index in $\mathrm{SO}(4,\mathbf{Q})$. | |
Oct 10, 2023 at 19:06 | history | edited | IJL | CC BY-SA 4.0 |
changed one occurrence of $L(4)$ to $L(3)$.
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Oct 10, 2023 at 18:08 | history | answered | YCor | CC BY-SA 4.0 |