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
Transcribed Image Text:
Po = P1 = P2 = 1 2 3 2 3 1 62 3 23 С 1 3 2 1 3 1 2) 2 M1 || М2 = Из = 1 1 3 2 3 2 1 3 2 2 1 3 ³) 1 (273) 1
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