Abstract Algebra: Theory and Applications · Problem 14.5.18

The Sylow Theorems — Thomas Judson

Mathematics — Abstract Algebra · switching-functions-cyclic-subgroup

Problem

How many equivalence classes of switching functions are there if the input variables x1,x2,x3x_1, x_2, x_3, and x4x_4 can be permuted by any permutation in the subgroup of S4S_4 generated by the permutation (x1,x2,x3,x4)(x_1, x_2, x_3, x_4)?

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