Inverse of a Permutation | Abstract Algebra | DR Colleger

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Inverse of a Permutation | Abstract Algebra | @drcolleger

Inverse of a permutation:
Let f be a permutation on S. Since f is a bijective mapping, it admits of a unique inverse f^(-1):S→S and f^(-1) is also bijective. So f^(-1) is a permutation on S and ff^(-1)=f^(-1) f=i. If by f,a_i→a_j, then by f^(-1),a_j→a_i.

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