sep20 - n ] (e.g. [ 4 , 6 , 8 ] = 24). Therefore o ( ( 1 2...

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Math 3124 Tuesday, September 20 September 20 Ungraded Homework Compute the order of ( ( 1 2 3 )( 4 5 6 7 ) , ( 1 2 )( 3 4 5 6 7 8 ) ) in S 8 × S 9 . If a permutation is written as the product of disjoint cycles of lengths ` 1 , ` 2 , . . . , ` n , then the permutation has order the lcm (least common multiple) [ ` 1 , ` 2 , . . . , `
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Unformatted text preview: n ] (e.g. [ 4 , 6 , 8 ] = 24). Therefore o ( ( 1 2 3 )( 4 5 6 7 ) ) = [ 3 . 4 ] = 12 and o ( ( 1 2 )( 3 4 5 6 7 8 ) ) = [ 2 , 6 ] = 6. Finally if ( g , h ) G H , then o ( g , h ) = [ o ( g ) , o ( h )] . Thus the answer is [ 12 , 6 ] = 12....
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This note was uploaded on 01/02/2012 for the course MATH 3124 taught by Professor Parry during the Fall '08 term at Virginia Tech.

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