For the transposition (i j)(k), this is what I have in my notes:(adsbygoogle = window.adsbygoogle || []).push({});

[itex](i j)(k) = k[/itex] if k is not equal to i or j

[itex](i j)(k) = i[/itex] if k is not equal to j

[itex](i j)(k) = j[/itex] if k = i

My question:

I thought the product of permuations is again a permutation, but here they are just equal to numbers. Can anybody explain why?

Thanks in advance

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# For the transposition (i j)(k), this is what I have in my

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