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  text: 'In a [-497], a transposition is a permutation which has the effect of swapping two elements while leaving everything else unchanged.\nMore formally, it is a permutation of [order_of_a_group_element order] $2$ which fixes all but two elements.\n\n%%%knows-requisite([4cg]):\nA transposition is precisely an element with cycle type $2$.\n%%%\n\n# Example\n\nIn $S_5$, the permutation $(12)$ is a transposition: it swaps $1$ and $2$ while leaving all three of the elements $3,4,5$ unchanged.\nHowever, the permutation $(124)$ is not a transposition, because it has order $3$, not order $2$.',
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