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 Curious
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Aug
26
awarded  Curious
Aug
25
accepted Prefactoring to solve many similar linear systems
Aug
25
asked Bochner-style theorem for SO(3)
Aug
24
comment Finite normal subgroups of $SO(4)$
[oops, that last one happened automatically, but I am happy to chat about this! Or, can provide more info via email.]
Aug
24
comment Finite normal subgroups of $SO(4)$
Let us continue this discussion in chat.
Aug
24
comment Finite normal subgroups of $SO(4)$
This would be great, if you have some time to help out! I need some mathematical collaborators to help me tackle this stuff -- any and all help is welcome.
Aug
24
comment Finite normal subgroups of $SO(4)$
Well, I'm trying to find some group that has $SO(3)$ as a subgroup and can be quotiented by symmetries of a cube -- but it may be the case such a thing doesn't exist. Totally stuck on how to pose a problem in geometry but it may simply be the case that what I'm trying to do is ill-posed!
Aug
23
comment Finite normal subgroups of $SO(4)$
Sadly I need to find a quotient group -- was there was a finite normal subgroup that looked like (contained?) the hyperoctahedral group. Alas! Thanks for your help, though. Related to this question: mathoverflow.net/questions/215407/… -- slowly working through a tricky computational problem
Aug
23
awarded  Scholar
Aug
23
accepted Finite normal subgroups of $SO(4)$
Aug
23
comment Finite normal subgroups of $SO(4)$
Got it! Thanks. Too bad there aren't any more interesting finite subgroups -- would have been useful for my research :-)
Aug
23
comment Finite normal subgroups of $SO(4)$
I'm hoping to find subgroups other than the identity and the group itself :-) Is SO(4) considered a small group? It's infinite! I don't think this is lumped -- I'm just seeking a simple enumeration of finite normal subgroups of SO(4) -- or of a larger group, if such a thing doesn't exist. The Wikipedia page for SO(4) mentions that SO(4) isn't a simple group (so it does have normal subgroups), but the discussion is quite technical and hard to follow.
Aug
23
asked Finite normal subgroups of $SO(4)$
Aug
20
awarded  Commentator
Aug
20
comment Space of arbitrary rotations of a cube
Too bad! Is there a way to fix this description? I'm still struggling to understand this space!
Aug
20
comment Space of arbitrary rotations of a cube
Thanks for your help! I understand that SO(3) itself is a nice space, but after identifying configurations of the cube the situation doesn't appear to be nearly as nice.
Aug
20
awarded  Editor
Aug
20
revised Space of arbitrary rotations of a cube
removed group part
Aug
20
comment Space of arbitrary rotations of a cube
Indeed it looks like it's not a group, but any characterization of that space would be very helpful!
Aug
20
comment Space of arbitrary rotations of a cube
@Whacka, it looks like you wrote a nice answer and then it was deleted! I was just beginning to take a look -- is there a reason it was removed?