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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Deepak singh 1
order of any permutations does not depends on total no. of elements in Sn . for finding order - firstly convert given permutations into disjoint cycles then order of permutation = lcm of length of all disjoint cycles of a permutation.. here order of sigma = lcm{3,2,3} = 6. if any doubt then ask
why does the order of a permutation important?
since permutations are collection of bijective functions , \nwe finds order because let say a given permutation have order 6 this means we have to use 6 times composition to get identity I.e every element in domain mapped to same element in codomain (1 maps to 1 , 2 maps to 2 , .......n maps to n ).
feel free to ask again..