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Subject: Re: Number of four by four permutations...


Author:
S. H. Cullinane
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Date Posted: 00:16:40 04/25/02 Thu
In reply to: Jed Pack 's message, "Number of four by four permutations..." on 18:35:25 04/17/02 Wed
 Dear Mr. Pack:

Here's how I got the number 322,560:
"G is isomorphic to the affine group A on the linear 4-space over GF(2)," as stated in my website.
I suggest you consult a book on finite geometry and group theory such as Geometry and Symmetry, by Paul Yale, to learn more about what the above sentence means.
It is a nontrivial exercise to PROVE the sentence.
Your error seems to be in your statement that "these two matrices fully describe the configuration." Try describing the configuration with two orthogonal 4x4 Latin squares instead.

Yours truly, S. H. Cullinane
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