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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 Fall '08
 PARRY
 Math, Algebra, Symmetric group, Least common multiple, disjoint cycles, ungraded homework

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