It is an incredible miracle that a permutation can be represented as a product of an even or an odd number of transpositions, but not both.
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@St_Rev Totally sincere. -
@mjdominus I don't understand. Then again my advisor once told me my main failing as a mathematician was that I had no aesthetic sense. -
@St_Rev Can you think of any other set S of perm.s, such that every representation of P as a product of S's has some invariant property? -
@mjdominus Surely any statement about cosets in S_n could be phrased in that way? -
@St_Rev Okay, there is nothing interesting or surprising about it. Nothing to see here, please move along.
End of conversation
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.