Even permutation : Odd permutation
An even permutation is a permutation which can be produced by an even number of exchanges (called transpositions). For example, (1 3 2)=(1 2)(1 3) is an even permutation. See symmetric group for an elaboration.An identity permutation is an even permutation as (1)=(1 2)(1 2).
The composition of two even permutations is again an even permutation, and so is the inverse of an even permutation: the even permutations of n letters form a group, the alternating group on n letters, denoted by An. This is a subgroup of the symmetric group Sn and contains n!/2 permutations.
An odd permutation is a permutation which isn't an even permutation, equivalently, it is a product by odd number of transpositions.
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prosecute him. You must prosecute Richard."
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right to prosecute, if I found out that this offence against me
society. I should then feel, as a protector of others more
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he is your son--do not imagine that! I should decline taking such
particulars about him, which I know already about Richard, and
for life--would destroy every good quality he has."
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