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Topic: Where does the parity come from?
Replies: 2   Last Post: Oct 29, 2008 9:35 AM

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Pablo Padilla

Posts: 2
From: Mexico
Registered: 10/2/08
Where does the parity come from?
Posted: Oct 2, 2008 2:40 PM
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I know that the parity of a permutation is the parity of the number of transpositions wich compose the permutation, i. e.,

parity= 1, if the number of transpositions is even
parity= -1, if the number of transpositions is odd

The question here is:
Is there a particular reason to define parity in {1,-1}? Why not to use any other set, say {0,1} or {x,y} for x=-y, etc.?

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