Difference between revisions of "HW2 Ch5 6 MA453Fall2008walther" - Rhea

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-Here's a hint (that I found helpful):
-Consider an element of A_{10} as a permutation written in disjoint
-cycle notation.  The lengths of the cycles must add up to no more than
-, since the permutations are of degree 10.  Odd cycles have lengths
-, 4, 6, 8.  Even cycles have lengths 3, 5, 7, 9.  Since we're dealing with the
-alternating group, odd cycles must occur in pairs, otherwise you would
-have an odd permutation (not an even one).  Determine the combination
-of cycle lengths that add up to no more than 10, form an even
-permutation, and have the largest LCM.
-Enjoy!
-~A. Bishel

Revision as of 13:42, 10 September 2008