Find Permutation Inverses and Products (Permutation Groups in Abstract Algebra)

In Group Theory from Abstract Algebra, given two permutations α and β written in array notation, we find their inverses α^-1 and β^-1 and their products αβ and βα written in both array and disjoint cycle notation. Their orders are also computed and we note that αβ≠βα. This means that, in general, permutations do not commute.    • Abstract Algebra Course, Lecture 1: I...  .

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