Timeline for Relations among hyperplane mirror symmetries
Current License: CC BY-SA 4.0
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| Jun 28, 2018 at 15:18 | comment | added | Johannes Hahn | And of course the answer depends on the underlying field. If you use a finite field, the orthogonal groups are finite and therefore satisfy a lot of nontrivial relations, for example relations like $x^{|G|} =1$ | |
| Jun 28, 2018 at 14:00 | comment | added | HJRW | You might like to look at this: en.wikipedia.org/wiki/Tits_alternative . The group $O(2)$ is virtually abelian. For larger $n$, $O(n)$ contains a free subgroup, and in particular satisfies no law. | |
| Jun 28, 2018 at 13:23 | history | asked | Mikhail Tikhomirov | CC BY-SA 4.0 |