| | In a Nutshell:
The Seed
"The symmetric group S6 of permutations of 6 objects is the only symmetric group with an outer automorphism....
This outer automorphism can be regarded as the seed from which grow about half of the sporadic simple groups...."
-- Noam Elkies, February 2006
This "seed" may be pictured as
within what Burkard Polster has called "the smallest perfect universe"-- PG(3,2), the projective 3-space over the 2-element field.
Related material: yesterday's entry for Sylvester's birthday.
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| | Posted 9/4/2006 7:20 PM - 0 comments
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