Which of the permutations in S 3 of Example 8. 7 are even permutations? Give the table

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Which of the permutations in S3 of Example 8. 7 are even permutations? Give the table for the alternating group A3.

Data from example 8.7 

An interesting example for us is the group S3 of3! = 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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