Obtaining the suitable k for (3 + 2 k)‎-cycles

الملخص EN

We show that, if k is odd.

Then the (32k) -cycles form a single ambivalent conjugacy class in the alternating group n A for all n 5 2k .

This generalize to the following result, if n 5 , then 3-cycles form a single conjugacy class in n A [see, (1)].