Compute i p1 [H] for the subgroup H = {p 0 , , 1 } of the

Compute i_p1 [H] for the subgroup H = {p₀ , µ,₁} of the group S₃ of Example 8.7.

Data from in Example 8.7.

An interesting example for us is the group S₃ of 3! = 6 elements. Let the set A be { 1, 2, 3}. We list the permutations of A and assign to each a subscripted Greek letter for a name.

The reasons for the choice of names will be clear later. Let

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(123). (231). 1 2 3 -(²9). 3 1 2 Po = P1 = P2 = = M1 = М2 = Из = 12 2 (133) 2 (1 2 3) 3 (273)