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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Sonu saini
why you divide it by 6
because the cycles (123)(4567)(89) and (89)(123)(4567) will be the same so there are 3factorial ways to permutate the three cycles amongst themselves. that is why I divide it by 3! to avoid duplicacy
Can you please clear my doubt?
see this attachment
always first write the cyclic decomposition of permutation which conjugates you need to find then apply this formula ,here alpha 1 is no.of cycle of length 1, alpha 2 is no. of cycle of length 2 ....