[next] [prev] [up] Date: Thu, 19 Oct 95 22:57:15 -0400
[next] [prev] [up] From: Dale Newfield <din5w@virginia.edu >
[next] [prev] [up] Subject: Re: Embedding G in a symmetrical group

On Fri, 20 Oct 1995, Michiel Boland wrote:
> It is clear that the group G of the cube (the one with
> 4.3252x10^19 elements) can be embedded in a symmetrical group, e.g.
> S_48, since each move of the cube can be seen as a permutation of 48
> objects.

Um...If I were a better net.person, I'd look up which version of the cube
has that number of elements, but wouldn't it be correct to say that each
move of the cube is a permutation of the pieces of the cube, i.e. the 26
cubies? (Or even, depending on which cube-model you are using(This is
what I should have looked up), if you ignore center cubie orientation,
the 20 cubies?)

If that logic holds, then the largest possible S_n would be S_20, much
less than the 32 that you claim is minimal...

...I think I'm just confused--can you alleviate that problem?

-Dale Newfield

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