Permutations and their sign
I can't understand the explanation for signs of a permutation in the book I have, and anything I've found online has been just as incomprehensible. The book is talking about and the for all . The material online is about the number of transpositions.
They seem to be using different methods which is very confusing. Can anybody explain sign of a permutation to me or point me towards some good resources for understanding it?
The book is 'A Concise Introduction To Pure Mathematics'
Any help is much appreciated
They seem to be using different methods which is very confusing. Can anybody explain sign of a permutation to me or point me towards some good resources for understanding it?
The book is 'A Concise Introduction To Pure Mathematics'
Any help is much appreciated
The book simply defines a polynomial quantity, labelled , to introduce the reader to the concept, since it does not cover transpositions (I think).
I would have a look at these:
1. Parity Theorem for Permutations
2. Sign of a permutation (more diagramatically presented)
3. Signs of permutations (Cornell University)
I would have a look at these:
1. Parity Theorem for Permutations
2. Sign of a permutation (more diagramatically presented)
3. Signs of permutations (Cornell University)
Original post by jack.hadamard
The book simply defines a polynomial quantity, labelled , to introduce the reader to the concept, since it does not cover transpositions (I think).
I would have a look at these:
1. Parity Theorem for Permutations
2. Sign of a permutation (more diagramatically presented)
3. Signs of permutations (Cornell University)
I would have a look at these:
1. Parity Theorem for Permutations
2. Sign of a permutation (more diagramatically presented)
3. Signs of permutations (Cornell University)
Brilliant! Exactly what I needed. Thank you
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