(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let a and b belong to Sn. Prove that (a^-1)(b^-1)(a)(b) is an even permutation.

2. Relevant equations

Definitions I have are

Every permutation in Sn, n>1 is a product of 2 cycles

and

A permutation that can be expressed as a product of an even number of 2 cycles is called an even permutation

Thanks

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# Homework Help: Let a and b belong to Sn. Prove that (a^-1)(b^-1)(a)(b) is an even permutation.

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