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 Yes, but A_n is interesting as a normal subgroup of S_n in a way that no other normal subgroup of S_n is interesting. -
@mjdominus I guess I'm not thinking about it correctly.
End of conversation
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.