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 Exercise [16.05] 
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Joined: 12 Jul 2010, 07:44
Posts: 154
Post Exercise [16.05]
Solution to Exercise [16.05]:

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26 Mar 2011, 20:53

Joined: 12 Jul 2010, 07:44
Posts: 154
Post Re: Exercise [16.05]
By the way, strictly speaking the marks around the outside of the magic disk represent elements of the projective plane of F2, not elements of F2 x F2 x F2.

However, since the only elements of F2 are 0 and 1, there is only one representation for a given ratio (or set of ratios) of values; and so the projective n-space Pn(F2) is point-for-point identical to the vector space (F2)^(n+1) with the origin excluded (for any n>0).

This is not true for any other finite group Fp, p>2.

26 Mar 2011, 21:12
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