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- 1Permutations: Proofs & Propositions
- 2-> Sn = n! ->ab := aob not commutative ->Cycle of length l has order l ->Any Perm' aeS has finite order ->Order=l.c.m of lengths of disjoint cycles->Any cycle can be written as product of Transpositions
->Any Perm' " " " " " " "
->Any Perm' of n elements can be even or odd...NOT BOTH
->sign(a)e{-1,1}, all aeSn
->sign(a)=+-1 for all a
sign(ab)=sign(a)sign(b), all a,b eSn
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- College Abstract Algebra Flashcards on Untitled, created by danny.cashin on 20/04/2014.
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- danny.cashin
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