Question: Show, by the following two different methods, that there are exactly 432 auto- morphisms of the affine plane A(F3). (i) Count the number of elements

Show, by the following two different methods, that there are exactly 432 auto- morphisms of the affine plane A(F3). (i) Count the number of elements in Aff2(IF3). (ii) Count point-by-point how many possibilities exist for the image of each point in an automorphism of A?(F3)

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