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Topic: "Unphysical" symmetries
Replies: 5   Last Post: Dec 18, 2013 12:03 PM

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Hauke Reddmann

Posts: 532
Registered: 12/13/04
Re: "Unphysical" symmetries
Posted: Dec 18, 2013 12:03 PM
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José Carlos Santos <jcsantos@fc.up.pt> wrote:
> On 08/12/2013 13:38, fc3a501@uni-hamburg.de wrote:

>> Example: The symmetry group of the utility graph K3,3 has 72 elements
>> if I googled correctly. So no 3D symmetry group fits.
>>
>> If I go to higher symmetry, is *any* group the subgroup
>> of some R_n (rotation group of dimension n)? Methinks yes,
>> but already in 4D my head hurts :-)


> I am not sure to have understood your question, but if you are asking
> "Is every finite group isomorphic to a subgroup of the group SO(R,n) of
> all orientation-preserving linear isometries of R^n, for some _n_?",
> then yes, it is true. Do you want a proof of this?


Not necessary :-) Yes, that sounds like what I wanted to know. THX,
--
Hauke Reddmann <:-EX8 fc3a501@uni-hamburg.de
Hund frißt Hund jeden Tag - Pal jetzt NEU mit Menschgeschmack
Hund frißt Hund heißt der Sport - hoff', du stehst auf Völkermord
(Der Nachwuchs)



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