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Math Help - Very simple permutations question (Parity)

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    Very simple permutations question (Parity)

    If i have somthing like (1)(6)(7)(24)(35) then is the parity simply (-1)^2 as there are 2 2-cycles?

    ie. the One cycles are ignored?
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  2. #2
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    Quote Originally Posted by BruceBronson View Post
    If i have somthing like (1)(6)(7)(24)(35) then is the parity simply (-1)^2 as there are 2 2-cycles?

    ie. the One cycles are ignored?
    Yes, 1 cycles can be ignored. They do not even belong there! Because in order to determine if a premutation is even or odd you need to express it in product of 2-cycles. Not 2-cycles and 1-cycles mixed together.
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