How to solve word equation for permutation group

Question:How to solve word equation for permutation group

Posted: ComputerUser 535 Product: Maple

February 26 2014

assume the word equation is

a_i *a_j - a_j *a_i = 0

how to find which permutation group is a_i and a_j

my understanding is to try all rotations

a book use underscript i and j

can i see them as upper script for i rotations which is shift i times to left for second row

and try all combination and composite them in two for loop?

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