Answer to Question #72599 in Abstract Algebra for Pkm

Question #72599
If σ is an even permutation, then σ ² = I . Write given statement is true or false, justify your answer.
1
Expert's answer
2018-01-19T04:10:16-0500
This statement is false. Example:
Let {1, 3, 4, 2} be the even permutation of four elements. Then, ( {1, 3, 4, 2})( {1, 3, 4, 2}) = ({1,4}{3, 2}), that is not equal to 1.

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